Responses
These mostly match your description and they are both good if you haven’t read them already.
https://www.mangago.me/read-manga/the_third_ending/
https://www.mangago.me/read-manga/limited_run/

I'm looking for a yaoi where thr top is really cold and doesn't seem to care about him much and to the other guy it looks like he hates him, so the bottom is about to leave him because he's tired of being unloved, but the top doesn't want him to leave so he actually starts trying