Hmmm, I don't know, there very well could be something to it for some people. Personally if I'm doing something like pull ups or sit ups or running, a rote physical exercise, I don't think that it makes a difference. I can do the amount I can do. That could very well have something to do with my own personality though. For example in my early twenties I was a runner and when I was in training my mile time very rarely regressed. I only ever ran a faster mile. So day to day it didn't make a difference for me.
However when it comes to doing a sport, especially a mentally demanding sport (mine is rock climbing) psychology is very important. If I don't feel good I don't climb well. To be at peak I really have to be in a good state of mind. For my girlfriend, who is also an very avid rock climber it is even more important. She battles with terrible chronic insomnia and if she hasn't been sleeping she can barely climb at all, even if she is totally functional in other ways.
However when it comes to doing a sport, especially a mentally demanding sport (mine is rock climbing) psychology is very important. If I don't feel good I don't climb well. To be at peak I really have to be in a good state of mind. For my girlfriend, who is also an very avid rock climber it is even more important. She battles with terrible chronic insomnia and if she hasn't been sleeping she can barely climb at all, even if she is totally functional in other ways.