Interesting question. In the first place, there’s nothing Femcel about it. I’m not even sure what that’s supposed to mean. I Femcel is defined as a woman who perceives herself as being incapable of garnering sexual attention.
Random Barney on the other hand describes a set of inappropriate male behaviors directed toward women who clearly DO NOT WANT IT in that time and place. Because it makes every everything all awkward.
Sexual attention for any woman is pretty much there to be had. Our problem is not that we can’t get it, it’s that there’s too much of it, it’s often out of place, inappropriate, performed in such a way as to make one question one’s safety, and polite declines are ignored or met with rage.
To me, Femcel is a made up word by men to obfuscate their problematic behavior.
There is a sound argument to be made about the parallel with "Karen", though I’ve been using Random Barney for going on 20 years now. Well before "Karen" became a thing.
Karen started out life the same as Random Barney, as a call out for problematic behavior; in it’s case for behavior of white women directed toward black people. Asking to see the manager to make false complaints or calling the cops and fake crying. Unfortunately, it was destined to become a gender slur, in part because it was too broad (imho). Too easy to bandy about inappropriately. There’s no direct association with the name Karen and the behavior itself.
Random Barney on the other hand ... the behavior is right there in the name. Twice if you get the 'Barney' reference to Don Knotts' character on The Andy Griffith show and are familiar with that beloved character’s fumbling, awkward, spazzy histrionics. Just apply that to sexual attention toward women in public space. Women you don’t know. Just randomly to whatever set of tits strikes your fancy for 2 seconds, thinking you deserve to get lucky and they should be so honored.
Awk.Ward.
So is it a dick move? Maybe. I guess time will tell. Though again, I’ve been using the term for around 20 years and it’s not been picked up into the general collective consciousness. That doesn’t mean it can’t be in the future. I think it’s also important to remember that historically men are not typically harmed by gender slurs in the way that women are. It’s just not the same playing field.
So maybe even if it is a dick move it’s also an instance of "what’s good for the goose is good for the gander". If you don’t want to be demonized for your gender, an attribute you had zero control or choice over, then don’t use slurs against other genders.
Seems simple enough.