Wait...I'm confused. How would the PCV system run the crankcase dry? It might do some nasty things with the oil that it burned as far as deposits, but it couldn't burn more oil than was present at the breather locations?
Some diesels, notably ford powerstrokes are EXTREMELY sensitive to oil quality in general, to anti-foam characteristics...and I would imagine that overfilling to the point of foaming would make one VERY unhappy.
I have seen engines, overfilled, turn the oil into foam and suffer bearing damage from the foam's inablility to lube well, but that has nothing to do with a diesel versus a gas engine.
I still stand by my comments that there are some engines that are well known to be happy with a bit extra, and a smaller number happier with underfilling. I honestly can think of very few engines where the full line is that close to catastrophic problems.