Which is something nobody would do unless a piece is very accurately rehearsed (and good editing is available). The single biggest advantage of the digital world is the fact that it can be operated with at least 10dB headroom and less consequent need for dynamic range control during the session, yet nonetheless remain so far clear of quantizing noise that ventilation is likely to be the dominant noise source, by a significant margin.
I'm afraid that your concept of inter-channel lag has me beat at a number of levels. Given that the phase accuracy of 20kHz tones on each channel is so high that it is possible, in inverse phase, to cancel them to better than -100dB, I really do not understand the point you are trying to make.
Oh, the safetry net of the PCM ...
Well, that is WHY I always insist being on rehearsal - in the same venue the recording will take place. Otherwise, I do not even bother.
Furthermore, "rehearsal/performance" ratio - for EACH "act"- be it solo voice or instrument - or Mahler's 8th apparatus - has to be "learned". The hard way... Most musicians tend to be rather shy in rehearsals - and will usually pull out all the stops in say finale of a symphony. Can be up to plus 5-6 dB difference. And there are those who will "roar" at the rehearsal ... - just to get an idea how to "purr" in the concert. It can be up to minus 4 dB - or even more.
Given a known venue and possibillity to attend rehearsals, there have been quite a few cases of "guesstimate" accurate to within - 0.2dBFS.
Given absolutely no rehearsal and having gain on the preamp set to min from previous extremely loud gig , there were 2 or 3 cases I had to normalize the result... - by plus 30-40dB. Of course, that means only PCM up to 48kHz sampling could be salvaged. I try to avoid such situations as pleague - but sometimes it has to be done.
Regarding the lag that can occur with PCM; to be blunt, one channel has to reach full SPL before the lagging one can start ramping up ... - and the same goes for the decay. Despite the original signal has been completely simoultaneous and equal.