This is a great thread. I have been working for a few years now on not letting mistakes derail my entire performance, and I am getting better at it. Ironically caring a bit less after the fact has actually reduced the overall number of mistakes I make.
I average one to three minor errors per set. Unfortunately sometimes it is worse, and sometimes they are not minor. In those rare instances it does hurt the band’s performance and energy. Even if it was not necessarily audible a sizeable enough disturbance in the force is felt by people in the audience as a confusing dissipation if energy. The minor ones do mostly go by unnoticed, especially if you can save it with a slide or quick adjustment.
Also the “play it again and call it jazz” approach works more often than I thought it would, but it doesn’t always work! Be careful there. Some clams are clammy every time.
One thing I have been noticing is how many touring pro acts also committ minor mistakes. They definitely seem to either ignore it or laugh it off for the most part.
And I once saw, long ago, Billy Squier and his band completely trainwreck on his big hit “Stroke” or whatever it is actually called. Half of the band went to the bridge correctly, half, of including Billy, did not! There was shock, surprise, and staring at each other on stage. It was surprising to see on stage at Merriwether Post Pavilion.