I don't recall them making a maple neck version from the Suhr era, but the preamp layout does fit the bill.
I don't think there is a logo on the headstock, maybe it is a replacement neck for a Suhr era Fender.
I always find it cool that while Davis' main bass, a seven string Ken Smith, is as boutique as one can get, he has used common active Jazzes like KSDs, and apparently Fender brilliantly for some high profile gigs.
Those Suhr design pups just sound like wonderfulness. I run straight into my Hartke 5000 with no EQ or anything on the amp and my bandmates are always remarking on how great it sounds.
I had a five back in 1996. For some reason, I sold it back to the dealer. I kept coming back with the intention of buying it, but when I had the money, it was gone.
This Bass is not a mid 90's deluxe Jazz. It's has a 20 fret, mid 90's deluxe jazz basses have 22. I own several Performance and 96-97 jazz basses. My guess is its a standard jazz body with a custom neck (possibly Performance). I think I saw a name, Performance, on the back of the headstock. And I don't think that preamp is fender or Performance. What ever it is, it sounds great.
That looks like a custom bass. Sounds like he's using an outboard preamp and compressor of some sort to get that sound. It is scooped with a boost in the low end. Mel has a very heavy thumb and def requires a compressor in his signal chain. Could also be his KSD as I know they have a very light logo and maybe we just can't see it but I don't think KSD made 5 in line tuner headstocks.
I thought the Suhr's pickups were of the larger single pole piece design. Those pup's have double poles.