Yeah, the get over it in this context is more of... an attempt? At empathy. Instead of "we have to get over it" it should have been something like "we will get through this".
I like to believe gender neutral words come from people mumbling a combination of the gendered ones and hoping that the listener assumes its whichever one relates to them.
Just people with anxiety creating new grammar one nervous encounter at a time.
Of course it has to be a stew, what are you some kind of sociopath who gives blinding soup to kids?