Let me give an example.
My teacher wants this week's lesson piece at MM=120. I can do the left hand at 130, with short bursts of 150, with a kind of rotation motion. Naturally the right hand copied that motion. But as I tried to go faster, I ran into a speed wall at 80. Plus, the hand had to shift slightly for the next measure and I couldn't land that one right. By experimenting, I found that the rotation simply didn't work on the right hand. Instead, a kind of pulling motion did, and I got that hand up to speed too. And even better, then I realized that also let the right hand stay in position, and the difficulty with the next measure disappeared without working on it. Now I can slow down that motion to work on it. But I could never get the other motion fast enough, even though it worked for the left hand.
Yes, a good teacher probably could have watched and spotted it right away, but we don't always have the teacher around when we practice.