Here are a couple of reasons to normalize, when, due to things beyond your control, the FOH guy gives you levels that are barely there (but in a 24 bit world are still useable):
1. DAWS are a audio-
visual tool. What's easier to work with when you have 2 hours worth of 48 tracks with weak signals, flat lines or visible waveforms? Consider how difficult it is to replace flubbed notes by the horn section with a snip of a good performance from the same track, if you can't
see them...
2. I, like many others, have mix templates with all of my dynamics processors and other plugins for drums, guitar, bass, keys, horns, etc. already in place. When levels are way below what you would normally record at, those devices must all be adjusted to sometimes extreme degrees to get proper amounts of compression, etc. I am talking about situations where channel gain can not make up the difference.
3. When you have three shows to pick and choose the best performances of in very short order, #1 and 2 become indisputable.
4. Never say never (as in "I will never apply fill-in-the-blank" to my work), (and never tell the FOH guy that he is an idiot - it does no good)