The big difference is, I've never asked anybody to do so. I've not bitched about anybody "erasing" me if they get my name wrong, and they do.
And, yeah, most people aren't "hit with it day after day," because most people look reasonably like what they identify as. If you look like a girl, expect that a few people are going to refer to you as a girl. If it's iffy or indeterminate, like "Pat" on Saturday Night Live, then people aren't going to know, so at some point, folks need to just deal with it. You can't expect the entire world to give up 1,000 years of gendered language, just because you identify as a Furry or something. Ze Zir and Zher or whatever - come on. If that's your pronoun set, then it's a bit unreasonable to expect people to not **** it up.
As for "put to the test," it all depends. If it's different people calling you "she" because you look like a girl, then those different people can be forgiven, because they don't know who you are. But if it's the same person over and over again doing it on purpose, you have a fair point. But that kind of thing DOES happen to everyone. I remember as a young buck, for example, going to work in a very blue collar environment - I was extremely fit back then, but I was a "college boy" and sort of "preppy." So, when I went to work on the job sites, the guys I worked with would rib me - they'd imply I was pretty, sometimes a bit gay, and the like. These were blue collar blocks busting my chops, on purpose. I dealt with it myself. That's what you do. I didn't claim PTSD because the construction guys called me gay when I wasn't.