First of all, a tinny/thin sound on the treble things is the fault of the guitar, not the pickup. I'm speaking from experience here. That means that many pickups will sound the same as the Rebel Yell, and I can tell you for sure that the Miracle Man will also sound "thin" on the treble strings, because that is the guitars natural voice. There is nothing that would make me believe the Cold Sweat would fare any better.
All is not lost though, in my search I found that the Alnicos Nailbomb's "rich, throaty mid range and warm highs", to quote the BKP homepage, help with this problem and fatten up the treble end nicely.
In my years as guitar player I found that quite a lot of guitars suffer from this problem - thin-sounding treble strings - but many players don't notice, because they downtune and put heavier strings on. That might be the most simple solution yet: put heavier treble strings on the guitar or tune down a half-step.