Actually I did an interesting experiment a few days ago, which turned out fine. My problem when I learn a piece is not the first learning, but ... the un-learning of mistakes. If I'm not dead sure of the fingering, I will make a lot of mistakes, and then I have to un-learn these mistakes rather than "practising" them. Difficult equation, right? My standard solution is, of course, to play HS in order to concentrate betterm after having made the first away-from-the-piano-studies. However, if it is already crystal clear, then I play HT at once. (I work in short segments at first anyway.)
When I tried to work out which keys to press, and when, without "ruining" my fingering by fumbling around, I played with the other hand. That is, the RH line with my left hand and vice versa - with some octave transpositions of course, in order to get a comfortable position and not make a knot of myself.
It worked! When I had figured the keys out, I could play the same thing with my "correct" hand and all of a sudden I did not hesitate as much as before. Once you know exactly where to go, you can safely work out the fingering without fiddling around and introduce mistakes that you later have to get rid of.