This, to me, doesn’t answer the question “Why cheesecake”, but the following from SSTF@lemmy.world’s link does, albeit a little
One day James was posing an attractive young woman when a breeze blew her skirt up. When more leg than usual came on display, Mr. Kane (who reputedly loved cheesecake) exclaimed, “Wow! This is better than cheesecake!”
https://www.neatorama.com/2013/03/21/The-Origins-of-the-Terms-Cheesecake-and-Beefcake/
Alternate story from https://www.etymonline.com/word/cheesecake
This, to me, doesn’t answer the question “Why cheesecake”, but the following from SSTF@lemmy.world’s link does, albeit a little