Shruthi, this is a fantastic piece!
What you are describing as "pseudofeminism" can also be synonymously described as "neofeminism."
I prefer the term neofeminism, myself, because it invokes the severity of scorn that we'd already expect to direct toward neo-Nazis. Everything you've said about these women (and sometimes the self-loathing men aiding and abetting them) who practice neofeminism/pseudofeminism is 100% dead-on, and their behavior imperils a truly feminist future for society as a whole.