Yeah, the space of things I can do quickly on the spot from practice, and the space of things I can get really good at after a few hours of re-calibrating, research, and trial and error are worlds apart. If I were hiring, I'd 100% look for people who can self-teach above all other technical qualifications (above and beyond whatever the basic competency level for the position is).
I only get an hour together or a bit more if I'm lucky.
In terms of people I've hired, if they can solve and code things in real time on a white board, then they can definitely do even better with more time and research.
Everyone does better with research, trial, and error. That's not unique. What's unique is problem solving on your feet in a foreign environment. I want those people.