You probably wouldn't like my bar band. We strive for matching the popular recorded version played on the radio. I'm constantly hearing parts that I don't play "correctly" and correcting them. This is a big source of pleasure for me. I get guys all the time complementing me on my ability to sound like the record, and execute some of the best and most challenging bass lines ever written.
You hit on something that believe myself to be true.
I have played covers and originals for over 30 years, and can honestly say that when putting together a cover project or finding replacement players for a cover project that there are just some players out there that just do not have the ear training or reading ability and cannot handle playing songs "note for note".
Those players "usually" fall into the category of either wanting to play only originals (hey, noone can tell if I mess up a song I wrote since they are not familiar with it), or the type that want to do their "own interpretation" of a cover.
However, there should be no animosity between the original and cover band camps because doing either WELL is hard.