To me, practicing something fifty or sixty times to "get it right" means that you "thought" you had it wrong that many times.

If you hire a carpenter to work on your house, are you happy with him only "thinking" he got it right? Nobody ever gets good at anything without having a strong self-critical facility. This is not the same as beating yourself up over mistakes. But it does mean being aware of your mistakes and figuring out what to do about them. For me, when I'm learning a piece of music, there's a goal, a ideal of what I think that piece of music should sound like. And yes, it often requires playing the same song fifty times in a row. Or even the same four-measure passage over and over.

I think that you underestimate the intelligence of your audience. I don't think that your audience wants you to be "perfect".

Out of curiosity, what are you passionate about? Do you put up with half measures in your primary area of endeavor? What do you do for a living? Does your boss expect you to be able to fulfill the basic requirements of your job without making a lot of mistakes? Would a stamp collector say, "Oh, I'm missing two stamps from that series, but that's OK, I'll call it good anyway."?

Also, as a audience member, I am put off by experienced professional musicians who make bonehead beginner mistakes - especially ones that indicate a lack of practice. I can put up with it all day from a beginner, as long as it's obvious the beginner is trying to get past that stage.