Would you recommend he get psychological counseling for his delusion, or tell him that his map is a perfectly valid one

I would do neither as both are examples of attempting to influence the world beyond the personal scope.

suppose the men wants to adopt a kid.

I have no knowledge of existing processes, but I assume somewhere it involves counselling or an evaluation as to whether the person is fit to parent. (some kind of massive paperwork process) If they pass such an ordinary process, then they should be able to do as they please.

Which is to say; yes this model breaks eventually (because someone has to evaluate and establish a baseline of "fit to parent" and declare whether the person fits within the lines or not), but it goes a lot further than "I have the right map because I say so, and everyone who doesn't have my map is wrong and should change their map to be like mine"

these are examples of demands "transwomen" are making.

Not gonna lie - the US is a strange place.

individual insists men on attending women's colleges and going to women's bathrooms.

I can't say that I know these answers; but I would start by looking at "what is a women's college and for what purpose was it defined to be so?". followed by, what does "men" mean in this instance, then "who will be directly affected by any decision, in what way?"