I have trouble conceiving of the denizens of ANAD going through everything (including the final Incursion leading up to Secret Wars), and existing knowing this after miraculously being restored from death after 8 years in purgatory, if such a place exists to store people. I think their minds would be blown, but, it could be like Alice in Wonderland, and they just click the red shoes, and they are back in Kansas, and wake up after a dream.
From the Brevoort quote you supply, people go through the grinding destruction of an Incursion. (Now here's the interesting part. Doom isn't there to pluck them aside and put them in Battleworld, and two rafts do not carry Illuminati and Cabal into hidden places). Instead, Reed /God is there, and he miraculously restores the universe as ANAD, and Multiverse. That's the sequence as put down by Brevoort. (It's a little like Age of Ultron and Logan's last alteration of Pym). It's sort of like let's ignore Secret Wars, and just go along like after Age of Ultron didn't happen either. Only after Age of Ultron, Angela and Galactus were in different places, and after Secret Wars, they are in a whole new 8th reality, and Reed is God. There have been shifts in both AoU and SW cases, but the line of continuity hasn't been interrupted all that much.