I've got a 2004 MIA Deluxe 5, no neck dive and the B is fine, I have noticed that the B is more focused with a tapered core B and strung through the bridge as opposed to through the body. I use Elixirs
I use the Fender 8350's nps's taper core "E" and "B" when I can find them, these really get a focused "B".
B: Not outstanding, but at high volume nobody notices. Neckdive? I remember that this bass balances outstandingly.
I have a '98 American Deluxe V.....I love it!!.....no neck dive, nice B-string that I also string through the bridge.
2004 MIA Jazz Deluxe V. BadassV bridge. No neck dive at all...balances perfectly. B was fine before the Badass and a little better w/the Badass. Dean Markley 2000s (tapered B, E and A) make it come alive. -Bazz-
I've never played a Fender with any noticeable neck dive. I don't do 5s, so I can't help you with that.