So if it isn't Lee could the guy playing having borrowed his bass? because that's DEFINATELY Lee's modified P-bass.
I saw this footage just a moment ago on the BBC and it was much clearer than what I could find on Youtube and you clearly saw the twin P-bass pickups, the filled in hole and the black control plate.
Like I said: there's only one guy playing such a bass.

Sklar showing a picture of himself without beard. Now that I look at it it's a match with the guy playing with Dionne Warwick...