Jaco and Wooten would still be who they are even if they played P basses- they'd sound a bit different in the mix, sure, but it's their talent we respect, and that would come out no matter what kind of bass they chose to play.
I'm still gonna go with nope. Guys like that are a package deal, sure there's a massive amount of talent, but their unique tone was what put them on top of the mix and gave their basses singing qualities.
In Wooten's case, slapping on a single pickup passive P is ok, but can be enhanced by the EMG, J bridge pickup, and active electronics. The added punch is what allows stuff to stand out and be heard.
In Jaco's case, that high end singing bridge J allowed his upper register to shine very well. A fretless P bass sounds great, but there isn't the same bite.

