As for that video, the thing is, look at what everyone around her is wearing. No other woman who crossed the camera field is anywhere NEAR that dressed up for the mall - no fancy dresses, no bright red, no super high spiked heels. The real problem is that even as a cis woman she wouldn't blend in; if she's dressed to attract attention, that by definition means she's standing out. And once people are looking...
Mac1 : I was scared out of my mind (it was a state of emergency in the area and this high school gym was the only place I'd been able to shower for a week, or I wouldn't have risked it), but I kept myself half-turned from the open doorway and was incredibly careful not to let anything show. Since I'm reasonably feminine in body shape otherwise, that sufficed. There were other women there who were shy about their bodies, and even some complaining about how dreadful the whole setup was, so it didn't seem odd to be turning my back to the room, etc. In fact, in most locker rooms there's a few cis women who want to change in the stalls/behind a towel/cautiously. It was the only time I ever wished I knew how to tuck, though!
Evelyn : That's some of the things you can do in fitting rooms, but sometimes women just take stuff in there to try on in private, too.

You don't *have* to let other people see you half-dressed unless you really want to, and it'd be considered weird to routinely do that with strangers [who were not the salespeople, and even they do bra fittings by request only].