You seem to have this weird idea, that hotwifing can only meet what you consider acceptable. That's your interpretation, other people can include whatever the hell they want. Simply wearing a chastity cage, doesn't mean that the male partner is no longer sharing his wife, it makes absolutely no difference to that. And for your information, me sucking a dick would make me neither gay or bi.
Early in the game, the MC can decide whether to continue having sex with his wife or to forgo it in future. There's also a similar decision, where he can ask his wife to belittle him during sex or not. If you make both these decisions in the affirmative, then the MC is literally telling his wife to do these things to him in future, no matter whatever he wants in that moment. The whole point of this, is that she takes control and refuses to give him what he wants, if he suddenly gets horny. The MC wants that to happen, he wants to be denied and/or belittled.
Now I get that you don't like that, and it's not part of what you consider to be hotwifing. But other people can think differently, and come to another conclusion. As long as it's mutually agreed beforehand by both partners, then these things are nothing more than variations of the typical hotwifing experience, which is the male partner allowing his wife or girlfriend to fuck other men, and as long as that still happens, it's still hotwifing whatever you decide to believe.