Yes, that’s correct. Scenes like from Total Recall or Mission to Mars are totally wrong. It will be more like the opposite of drowning but about as bad. I’m trying to remember if The Expanse got it right in the several examples, they usually do pretty good hard science. It may have been a combination, since anyone seeing someone NOT freeze will say it looks fake.
It will do both. The initial boiling will draw heat away from the other molecules, eventually freezing them. So I suppose it wold depend on how fine the spray pattern is as well as the beginning temperature as to how much goes to gas vs. solid.