Tool tells a lot of lies on their gear too. Read several times its a known fact they never tell the truth on what they are using. Adam claimed the silverburst his the only les paul he can achieve his tone with or that he does not use any effects when his pedalboard takes the third of the stage...
IMO nailbomb or diver, great mid push, more low mids and more open tone on the diver, or more focused and a tad more agressive on the nailbomb. Had both on my gibson les paul custom and achieved best tool riffing with the holy divers on my diezel amp. Nailbomb and 5150 was a good combo too. Just to say those are the best modern alnico pickups around for me, its just a matter of taste and matching it well with your rig and guitar.