If anyone thinks that it is a societal norm to use the term ‘zhe’ or another made up term, it’s not. Hence the discussion about it.
Language changes all the time, so if a word became commonly used it wouldn't be a 'made-up term' - I suppose the people who're interested in having a third pronoun to indicate non-gender are hoping for that outcome.
I don't mind calling people what they prefer, so if I met someone that wanted me to refer to them as "zhe', I would try to accommodate that even if I thought it was a bit weird or something. Also, does spoken 'zhe' sound much like spoken 'she'?
Of course, you might ask me if I'd refer to someone as a pumpkin, if zhe asked me to. And yes, for the time I was with them, I probably would - unless it was my job to talk them out of referring to themselves as a pumpkin, or if I was on an internet forum in which disagreement was the point of the discussion.