"There's inevitable "bleeding" from one sound source to another, but that's not irrepairable."

I would suggest that at times it is. Depends on the mistake that has to be corrected. Put a 3/4 guitar rhythm against a 4/4 voice track and that kind of error from either voice or guitar cannot be fixed because of bleed from v to g or g to v track. There are other errors that can. But the times have to be in 'tempo sync'. Depends so much on rhythm fed to the mics. However, your guitar ability is so exact that you likely omit that consideration from the equation :-)