In a conversation with a feminist she said :

( men should be able to show emotion and weakness and that they should be supported in doing so. Maybe I should give an example of what I consider a fragile man: it's the kind of guy who tells other men that "emotions are a feminine trait", that "showing weakness is unmanly" and that "enjoying something is gay" )

Here is the problem:

When you use the terms like "fragile man" and "fragile masculinity" you are saying that male weakness is something to be ashamed of. this will make it harder for men to show emotion and weakness.

When the media use the term "fragile men" as an insult do you think men will be more comfortable to show weakness or less ? of course less because being fragile man is considered an insult.

They are making it worse.