Re: phat cats with an invader in an sg?
I think a HB/PC/PC set up is very good. I have an Epi SG Custom with a PCN in the middle & it sounds better than a HB in that position (bad position harmonic node-wise for HB's). If I ever do another HHH, I'd use a Phat Cat in the neck too. BTW, I have an SG Std with a 498T (A8) bridge & PCN neck (A5/A4), which is an excellent combination too. Phat Cats have lots of applications and tremendous flexibility with all the potential magnet swaps.
Keep in mind that a HB has 1/2 magnet per coil; a Phat Cat/P-90 PU has two magnets per coil, so there's some definite output there, especially in the neck position. Like Super Rad Ska said, they sound much better when you swap out the stock magnets, which gives improved tones & higher output (I have a bunch of PC's and have replaced all of the A2's). I don't think an Invader would drown out Phat Cats.