Sure, why not.
Precisely because of the changes in the IP, you could get people who long for the old version.
I don't know what your story would be, but as you are showing an OC character, I assume it will play in the same universe, but without the OG cast?
And, to be honest, personaly I think that's the right move. Without using the original cast (or at least have them only appear as short cameos), it might even work better for everybody.
But I haven't played either of those, even through I am a huge Old Trek fan.
Here's my premise. Be extremely lore accurate, especially to the TNG timeline.
Post Dominion War, set on a Galaxy class starship which was commissioned during the Dominion war but received a new crew and upgrades following the end of the war. Use Lower decks uniforms because they are canonical during this time period, but none of the lower decks stupid humor.
Every member of the crew is competent just like TNG. Every member is intelligent and know their job like a professional. The crew does missions which are standard fare of a competent star fleet ship.
Here's the crew.
Captain: an Andorian Female: Motherly figure, a little thick and aged, but still cute if you are into motherly figure milfs.
First Officer: Vulcan male: (Antagonist) He and the captain don't get along on a personal level because Andorians and Vulcans usually don't, but they are still very professional and act accordingly on the job.
Second Officer: (Protagonist)The MC. Human male. He likes to chase members of the crew, but if he's caught by the first officer he will get in trouble and possibly demoted or kicked out of star fleet.
Chief Engineer: Alien female (I haven't decided the race yet) She's extremely intelligent and very nerdy. She's usually reading or tinkering and doesn't like to be bothered, but she'll happily chat with anyone as long as it's related to engineering or math topics. Small breasts, big brain.
Chief Security Officer: Your bro! I'm leaning Bajoran but not decided yet. He is married but loves hearing about your exploits. He keeps an eye out for the First Officer and lets you know when to be careful. He's the guy you hang out with on a regular basis.
Doctor: Tiny girl, not sure what race, but I want her to be short and cute. loli proportions but older than 25. Have to find a race that fits the criteria but she'll be sharp witted and quick to make a snappy remark.
Counselor: full Betazoid: Big tits, will clearly read your mind, so you have to stay guarded. She's very flirty but a huge tease because she knows it drives you nuts. Have to really work to get in bed with her or the captain.
Ensign Ashley: She's my avatar. She's young, cute, and full of energy. She really wants to do well in star fleet and she looks up to the MC.
Nurse (working on a name): She's Orion, green skin, down to get wild. The game will open with you two already being friends with benefits. She thinks it's funny that you are out to get other girls because she is too. MC and her have a bet to see who can get the most girls on the new crew first. At some point, you two will have threesomes with the girls after you beat her in the bet.
Other characters would be added over time as well as characters that make appearances for an episode only.
That's the basic outline. However, it's a lot of time and effort to create a game! I don't want to go through all that work if everyone hates Star Trek these days.