This will be a shot in the dark... and the only thing I can remember is 1 specific scene:
I cant remember if this character was a younger brother, nephew, family friend/young non-relative, but he essentially interrupts an older guy about to have sex with his boyfriend. He doesn't leave right away and I think tries to ask a question - and this is the panel I remember - the older guy looks over his shoulder at him, and goes, "hm? What was that?" with a "get the fuck out" face. I think in context of the story seeing this older guy interact with his bf helps him come to terms with his own feelings I assume for someone else? I cant remember if its a spinoff, sequel or what. Its not a very recent manga from what I remember. I think the older guy did not date men before his bf but is very protective over him.
And now we get the reason for the sisyphus in the title oooh this is good