I remember people used to argue that feminism was good because sexual liberation of women meant everyone was gonna get to have lots of sex. Obviously, these incels were not invited to the party. Women are having lots of sex, just not with them. And you actually believe "deep emotional relationships between men" are the cure for this unrest?

This is about deeper issues than friendship. It's about people's essential worth as human beings. People don't just have sex with anyone, they select partners and this implies selection criteria which implies value judgement. By seeking intimacy, we all risk judgement and rejection. Can you imagine what constant rejection by everyone must do to a person's self-worth?

"Cuddle parties" won't solve anything because they fail to understand the problem. Even proposing something like this compounds the issue because it's like saying "you are not good enough to have sex, enjoy this platonic activity instead". The root cause of this issue is society and women especially have decided these men are unattractive and therefore worthless. There is no fixing incels without fixing this inequality.