Sounds like sex with men opened the doorway to something else... Intimacy with men.
In my (not particularly humble) opinion, people's gender programming for emotional intimacy is every bit as varied and flexible as their gender programming for sexual arousal. Furthermore, the two don't necessarily match up. My sex drive is mostly (not exclusively) male oriented (call it "gay with a dash of pansexual"), but my emotional drive is pretty much gender-neutral.
Then if you want to make it even more complicated, you can throw monogamy vs polyamory into the mix - and those, too, can be separately oriented for relationships and for sex...
So, what it means to finally have intimate feelings for another man is whatever the feeling is for you. Another part of the amazing human being that you are. Enjoy it! Share it! Celebrate it!