Look, I'm an introvert. I despise being treated as a performing seal. I also have no problem with a whiteboard interview. Yes, I'm being made to jump through hoops, but I understand why. It's not just to make me jump through hoops. (If I pick up the vibe that it is just for that, then I don't want the job.) It's so that they can see how I think.
But maybe my saving grace here is that I don't fear pressure in that kind of situation...