When I see a band like Queens Of The Stone Age or Black Rebel Motorcycle Club or Foo Fighters live I'd get bored and leave if the played exactly the same as the record. If I want to listen to the record then I'll listen to the record.
When I play covers with a band, as long as everyone works around the original chords then it's all good. Note for note covers always sound boring to me, music is art, imitation is not.