@RogueKnightUK You have just given a well thought out response, but it is incorrect, I shall elaborate on it.
Bad things that happened to you when you were younger are not a "weakness". They are "dark backstory / personal tragedy". Batman's parents got shot when he was as kid. This does not in any way make Batman weak. Superman's planet blew up... That's as bad as a back story you can get. Not a weakness. Uncle Ben getting killed in Spiderman... Again not a weakness. Just because someone close to you died in the past this is not a weakness on your part. In my early 20s, my girlfriend murdered the baby we had together before she committed suicide... I lost my girlfriend and our baby in the same day. Not the most fun thing to come home from work to... I don't consider this personal tragedy a "weakness of mine". I got Jensen beat in the dark back story category. I'm not gonna have a pissing contest with a fictional character though. Everyone has some sort of personal tragedy in their life, even more so the older we get. Everybody has lost someone. It can add to a sense of depression/sadness of a person but it is not something that qualifies as a weakness. If Jensen were shown to be sitting up at 3:12 in the morning holding a 45 to his own head thinking "I miss you, my love, I want to see you again even if it means the end of my life..." If it pushes him to the point of being suicidal that much... MAYBE I'd let you toss it in as a weakness. Jensen is not that haunted though. If I met Jensen I'd tell him "Toughen up buttercup". He needs to get over it. It's been many years.
He lost self-control when dealing with Christian Bernd. That guy 100% had it coming. The man was beating a woman, trying to blackmail her and her daughter into rape... Oh and after he knocked Christian out the guy comes up from behind with a weapon trying to Kill Jensen who Bruce Lee's that shit... Christian is a genuinely bad guy. Showing a lack of mercy in the face of great evil is NOT A WEAKNESS. This is a great strength. Jensen was 100% Justified in his attack on Christian. It was in the "heat of the moment". He had the self-control to stop before killing the man. As for it being in "broad daylight in front of many witnesses", I disagree. It was in some back alley with the woman he was trying to rape as the only witness. You think she was gonna report Jensen to the police if he snapped the guys neck? I don't think so! If anything I'd argue he showed great self-restraint/self-control in not killing Christian. Not a jury in the world would have convicted Jensen there.
Jensen is impulsive: So what? A lot of people are impulsive. That doesn't make you weak. Some people are more or less risk averse than others. No risks no rewards. If Jensen were so impulsive that he got aids from a crackwhore after he gambled his house away at the casino... Ya okay, I'll bite on that being a weakness. It's not to that level though. He never gets himself into situations he can not handle. If there is a guy that goes to the Casino every day and comes home with 5-10 thousand more dollars in his pocket than when he left he does not have a gambling problem. It's when he starts losing every day that he has a gambling problem. Thus his impusliveness is not a weakness, it actually yields him rewards. It's of benefit to him.
Jensen aint down with the whole commitment thing: Again not a weakness. Why would this guy be down with commitment? He can fuck anyone he wants. He is a slut maker. Not a weakness. Many men would live the way he does given the opportunity.
Jensen doesn't know if any of the women he fucks actually like him or are addicted to him like a drug: That's a valid argument, but really any man could say that about them self. Does my girl like "me for me" or is it because I am in good shape, got a nice car, smooth talker ect... Definitely not a weakness. His fat wallet, 6 pack abs, fancy cars, snake in his pants, and guitar playing could all be other things he could make this same argument about. If he didn't have literally everything going for him this would be a valid argument. Like I said though even without his superpowers he has all the things women like.
He is genuinely a nice guy: There are no "nice guys". Check out reddits r/niceguy if you don't believe me. He doesn't face any rejection. He has no reason to be unpleasant. Girls fall over each other in a race to be next to suck his cock. Poor Jensen... If every girl I came across was instantly into me like they are with Jensen I'd be the super chill best guy around too. Jensen never faced a girl that killed his baby... Jensen never met a dinner whore... Jensen never met a woman tried to use him like a tool, Jensen never met a woman that cheated on him. The mother fucker is the whitest of white knights around. He doesn't face any women with problems... Oh wait he does, but you know what those problems are? It's not she is a lazy lying cheating abusive hoe... It's "All other men are rapists!" The Jensen guy is one step short of a male feminist. His married female doctor sucks his dick, then feels bad about being a slut for breaking her professional code, and cheating on her husband... Then he is like "It's all good baby, don't worry I liked it" smooths that shit over in a minute.
Adam: Why does it gotta be a man enemy? Almost every man in the Jensen universe besides Jensen is a villain, and if the man is not a villain they are just one of Jensens Beta buddies which we see briefly when they work for Jensen or offer work to Jensen. A female nemesis would spice the story up more.
Hollywood guys: Incorrect they do not make Jensen look like a tongue-tied, unattractive, pauper. Lots of rape scandals going on in Hollywood. Look at Bill Cosby. Millionaire famous TV star, one of the most recognizable men in the world. All that pipe he was laying was date rape! I'm sure rock stars, and movie stars, and TV stars, and pro athletes all get some serious pussy. Then they got the paparazzi all over them, and rape allegations. Plus that celebrity status is only gonna be of benefit if the person is your fan. Justin Beiber has a million girls that want to suck his dick. Not so much if they are not a fan. Jensen's powers are universal though and work on all women not just "fans". As for them having more money there comes a point where it doesn't make much of a difference. A person living off of 3 million dollars isn't living much less comfortably than a person living off 300 million dollars.
Judging how the game opens with a good look at Jensen's cock I feel the writer is probably a female & gay man.
I think a sequel to this has the potential to be a good story. Set it to 30-40 years in the future. Jensen still has the powers, but is not a wealthy nor as ruggedly handsome nor that same young buck anymore. Instead he walks around with a cane & gray hair living off social security, maybe even in a nursing home. Then that's an intersting story! Then it couldbe argued he has this moral dilemma where women may only be into him based off of his powers, but as the story currently is he is rich, handsome, tough as nails, large very functional cock, nice cars, jamming on the guitar basically anything a woman could ask for but "commitment" but he has no reason to commit because he can lay that pipe like a boss.