If you took a p-bass...
...removed the split pickup...
...and replaced it, in exactly the same spot, with a humbucker that, aside from the obvious, was as similar as possible to the split pickup
...then what would be the tonal consequences? Which of the elements of the typical p-bass tone are the ones that would be lost? What tonal characters would be added?
(I can see that most single humbucker basses differ from this picture, so I don't need to be told that it's a bad idea etc etc, I'm just curious to know)