I hit the plateau at 15 dead hang pull ups a few years ago. I could do one set of 15 dead hang pullups, then a set of 12, then a set of 10, then a set of 8, and then barely none at all. After reading a few articles, I decided to try a new program where you basically never do pull ups to failure. I felt silly doing tiny sets of 3 dead hang pull ups, but after a few weeks when I went to morning PT and our PSG told us to do as many pull ups as we could I surprised myself by doing 22 dead hang pullups -- I had never come close to 20, let alone 22 beforehand.
I know that this technique works for pull ups (although I don't know why, other than overall total volume being greater), but:
Does it work the same way for pushups as well?