OK, so I found someone who understands what I mean. Thanks a bunch.
There are a few things I've seen in this thread that I disagree with.
1. I don't buy the notion that "the crowd will never notice how close you are to doing a song correctly and won't know if you're doing a terrible job".
Those people in the crowd have heard some of the songs you are playing 100,000 times. Don't assume that the public is so ignorant that they can't tell a good band from a crappy one.
2. "Make the song your own". This is shorthand for "nobody is commited enough to woodshed the material'. I will bet you that most of you who have said that would gladly be in a band that takes the time to get the signature stuff right. I'm not talking note-for-note, either. Signature beats, hooks, turnarounds, vocals are all important (to me).
In closing, several have suggested that it's probably me that's the problem. Okay, I get that. I have to stop being so OCD about how the songs are put together and polished. I have always kept my mouth closed about the imperfections I've heard in past bands that I've been in. However, I've been in several bands that took the time to do it right, going back to 1966 when I was headed for 9th grade, so I know what good feels like.
The problem around here is that the 4 to 6 top drummers in the area have either moved away or are deceased. The pool is small. I've talked to other musicians that have had to play with the last 4 drummers I've played with. They have come to me (without me asking) and told me how substandard these drummers are. I then co-miserate with them. I understand them and let them know that I know how frustrating they must feel. The reason I am upset is that, for the first time since 2009, I felt this lineup had potential, and at age 67 I knew this was probably my last foray in live music with a band, so I wanted to do it right. When I got the call, I knew the people in the lineup were good players so I told myself to give it a go. I did play with a wonderful drummer a few years ago. The problem was, he was so flaky. He quit 2 times and came back to quit a 3rd time. The other guys were playing in multiple bands, so that band was the one to be dismantled, because they couldn't find a drummer that they liked. I was the last member to join so I did not question their desire to disband, and I didn't discuss finding a replacement. I packed up my rehearsal room gear and headed home, thinking I was done. I didn't know any good drummers anyhow. The other decent drummer in town has one of those wives that are so jealous that he can't even leave his house without her. It's a shame.
Thanks for the comments. Sorry if I caused a stir. Perhaps I should have blown off steam and declared 'Rant Over!'.