I only threw it out there because OP seems to be working toward an equitable partnership. And the dude sounds like he needs more intervention than he can muster by himself, or else he'll accidentally ruin the relationship and may hate himself forever for it.
Interabled couples need to be a lot more for each other. My wife, for example, has a condition where her diet needs to be monitored, and sometimes firmly policed. If it were up to her she'd have a McDonald's IV. Occasionally I'll have to nag her to pee if she's feeling too lazy (also because of her condition). So each of us have to play parent for one another sometimes, but this was all negotiated long ago.
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It's easy to forget everyone's autism is different. Many people on here act well in social settings because they can fake it even if they don't enjoy doing so. Ergo their personal relationships are largely normal. But many cannot function in social or interpersonal situations because they just have too many blind spots or impulses. Many are also socially isolated and simply lack practice interacting with others. There are cases when someone needs help - sometimes seemingly excessive help - in order to attain balance and stability in their life. If someone cares enough to offer that help, they should be empowered and given the tools to succeed. In this case I think "training" is the appropriate word. It makes the intent transparent and unclouded by social coding, allowing both parties the ability to consent to the proceedings.
I guess I should clearly state that training isn't the same as one would train a dog, but repeatedly prompting the mind to detect impulses, identify appropriate reactions, and navigate the immediate social surrounding to positive effect. But calling it something like behavior modification therapy is too clinical and impersonal, IMO.