I guess you would have to decide this for yourself but if you were recording a live show to produce and sell on the internet, but then you found out that the drum mics were picking up the vocals, other instruments or audience or just basically, there was too much audio bleeding in all the mics, which made it difficult to mix, add effects, compress, etc. You don't have the luxury of having a controlled environment in a live situation.  Would you then re-record the parts? Or would you leave it as is?  Some people would call re-recording, cheating. I don't know if I would call it that.
everyone does it