Arent they coming out with one already? PRS SE Pink Floyd 24 right? Its new with the locking tuners...Could also someone get back to me as to how come the Paul Allender and 24 through a Fender Hot Rod AMP, I dont know if that amp has any settings but there was no distortion or metal sounds at all, it was clean..no matter which setting I put it in or what knob.
As Pfloyd57 stated, if there was a David Gilmour PRS model, I would have been all over that! But Mr Gilmour is far too closely associated with Fender Stratocasters for that to happen, I think. They even released a David Gilmour Black Strat signature model (which was more of a marketing gambit than a true representation of the guitar configuration he has typically played over the years, IMHO, so I don't own one).
I think you are seeing the "Floyd" Custom 24, which is a PRS SE Custom 24, fitted with a Floyd Rose Tremolo instead of the standard PRS tremolo. I do not believe there is any PRS guitar endorsed by Pink Floyd or David Gilmour.
On to your concerns about which guitar is "better" for blues/jazz:
Many "metal" guitarists take the signal directly from the guitar and play it through a Marshall stack (for example), with no distortion pedals. the Marshalls have a raw heavy-rock/metal sound if the gain and pre-amp are cranked up. Other metal guitarists prefer to use amps purely as a way for amplifying the already distorted sound from a distortion pedal, with perhaps some "coloring" of the tone from the tube-amplification of the amplifer - that's what I do.
You can get almost any sound you want using appropriate effects pedals, IMHO. However, certain bodies and certain pickups can more easily represent the specific tonal characteristics associated with jazz or blues, and the sustain and resonance will certainly be affected by the body. That's why jazz players often use semi-hollow bodies like Epiphone Dots or Gibson 335s. But you can play jazz/blues using a BC Rich if you want. If B.B. King were to pick up any of my guitars it would sound infintely more bluesy than anything I could play on his guitar.
The Paul Allender model has active pickups: the pickups need a battery to provide a signal, but that signal is much stronger than a regular pickup. As a result, it can overdrive an amplifier or distortion pedal easier and to a greater overall degree. I haven't seen the waveforms typical of the pickups in the Allender model, but they could still be relatively "clean" (not clipping/distorted) prior to going into an amplifier, and therefore would still be capable of producing a good clean sound. It might be "brighter" (sharper, as you put it), but that can be modified with a tone control or equalizer.
Starting with that clean sound, it would be possible to generate a jazz or blues tone that may be acceptable to many people, including yourself. Other people would want the sound direct from the pickups to be already in a state that is closer to the jazz/blues sounds they desire, so they would want a Gibson 335, or might find a Custom 24 to be acceptable.
So really, it comes down to what works for you. Try plugging in a semi-hollow guitar next time you are in the guitar store, and compare to the PRS Allender. You may be surprised at the differences, or you may not hear it at all.
As always, IMHO, YMMV.