Has a certain "konk" sound in the mids that's hard to dup without a pbass pup in the correct position.
I gotta agree- I think the split-coil design is responsible for that signature tone. A high output humbucker by design seems to cancel out too much of the highs/high mids to sound like that. I think it can do a pretty decent "P with the tone knob turned down" sound. I do think an L1000 in single coil does a pretty good P though.
Karl