I had a white Epi Thunderbird for years, one of the really early ones with the dark fingerboard. No neck dive whatsoever, although loads of people told me I must have been wrong because as everyone knows, ALL Thunderbirds neck dive!
I do regret selling it, but in the end that skinny nut was a bit too narrow. It's with a friend so it's in good hands. I do miss the sheer roar of that neck pickup though... nothing comes close.