I once did an experiment by stropping a razor several thousand times. This was done over the course of a week. It didn't hurt the blade at all. It gave a good shave, but was no better than a normally stropped razor. I'm thinking that after 50 to 100 laps, the benefit of stropping drops off.
Ever since viewing a Maestro Levi video on palm stropping, I always do the same after stropping on leather. For me, it seems to make the shave an extra 10% better.