Essentially Hotwifing and Cuckolding are two sides of the same coin. The cuckold hotwives his partner, whereas she cuckolds him. You can't have one without the other. Generally when a man hotwives his partner, he allows her to have sex with other men, from which both partners derive mutual satisfaction. He though, is generally not allowed to have sex with other women. It's all about her receiving pleasure, and him getting off on allowing her to do it. Hotwifing/cuckolding can though have a humiliation element, with the wife belittling her husband, by comparing him unfavorably with her lovers. And whilst this may not be a part of all hotwife/cuckold relationships, it is a recognised sub-category within this lifestyle. And this can extend to the wife witholding penetration completely from her partner, to further belittle him. So I think it's perfectly within the context of this game, to refer to Bella as a hotwife.
It's been very clear from early on, that the game was likely to follow this path, and involve the more extreme elements of hotwifing. What part of the 'humiliation' option didn't you get? That was there long before you could actually use it. So the implication of it being there at all, was that the MC was inevitably going to get badly humiliated, and that generally means being constantly belittled and put in chastity, in these types of scenarios.
Yes, the Dev could have made this into a different kind of hotwifing game. But since he set out his stall early on, that the MC was going to be a classic cuck, who is increasingly humiliated by his wife, why would he do that?
I've got to strongly disagree with your characterisations.
Firstly, the premise of this story makes any distinction exceedingly difficult. Primarily because it's silly to suggest that a pimp is a cuck or that his hoes are hotwives. While we might want to argue the toss, the fact that the MC believes he is using his wife for his own financial gain changes everything ... and the fact that he might love her is quite irrelevant.
Secondly, being a 'cuckold' is a weird American fetish that has just hijacked the term and bears little to no relationship to its historical usage. Rarely is the term used correctly and mostly it's just used as a bland pejorative to describe any man whose wife has had an affair. Rather than a man whose wife has born another man's child and may or may not be still having an affair with that man.
Thirdly, aspects of humiliation ... which are just the soft elements borrowed from BDSM ... are alien to a hotwifing scenario and would in most cases result in divorce. However, within the 'American cuckold fetish' it's an essential element.
I think the problem with your characterisation comes from the fact that this story is of a 'Hotwife', but she is playing the part of a woman that is cuckolding her partner ... so it's really more like a classic NTR story of love being stolen right under the nose of a clueless MC than anything else.
The MC is delusional and thinks that they are in control and that it's a Hotwifing situation, while in reality the wife is actually bringing in all the elements of the American fetish - size queen, cum eating, subservience, cock cage, and SPH among other humiliations.
The problem with the game is that it clearly wants to drag the player down a certain path and cares not a jot to what the Player wants by avoiding any real confrontation between the protagonists and the choices that would throw up, while throwing in bogus elements like the 'no humiliation option' and the latest batch of choices in the recent update.
When the wife says no more penis action and refuses to touch, suck or fuck the MC you know where the story is going because in any other world the MC would have immediately read the riot act and/or told her to fuck right off. That the wife gets away with i, no questions asked, is just testament to (a) how wet the MC is and (b) that the MC wanted to be an American cuckold right from the get-go. So arguably there was no Hotwifing in this story at all, just an elaborate ploy by both the MC and the wife to reach the same goals ... except we know that while the MC is a complete wet spineless knob, the wife is a cold calculating narcissist that is going to physically leave the MC as soon as she's got all her ducks in a row ... because emotionally she left him somewhere between the second and third update.
If you believe that a hotwife's partner is automatically a cuckold, then you are sadly mistaken. Almost all cases of Hotwifing are for the partner's benefit. Whether that be financial, social or for access to other women ... they all use the Hotwife as currency.
It's one of the great ironies of life that porn generally portrays the Hotwife as being driven by the woman and the cuckold as being driven by the man, when in reality it is almost always the other way around. Of course, like anal sex, if you're trying to persuade someone to go counter to their natural inclinations it always pays to make out that it's this remarkable thing that you've just got to try because it's so empowering blah blah blah. Kind of like the pimp telling his hoe that being a prostitute is what she really wants in life and that she should fight for that right.