I'll get killed for this here, but for me a Non-Rev is not a TBird, full stop. And those instruments do dive, yes. Also, the Revs "lean forward", but that is why you have those strong, manly and hairy hands of yours, honey.
With a Ric or a TBird, neck-thru is
the defining factor for me above all else - if a bass looking like a 4001/4003 or a TBird doesn't have that feature, it's an impostor to me.
And don't tell me you don't hear the difference: If you play legato in the mid region of the neck - 7th fret and upwards -, there is a world of a difference how the tone develops, both in your ears and hands.