Also, I'm wondering why stacked pickups have phase cancellation issues, but in-line humbuckers don't. Is it because, in linear pickups, each string's signal passes through only one coil, as in a pure single, whereas in a stacked version all signal passes through two RWRP coils?
Yes, with inline (split) humbuckers, they are actually two single coils connected together, usually in series. The two coils are wired out-of-phase, but have opposite magnetic polarity. That puts them back in phase, but noise doesn't rely on the magnets to get picked up, so it cancels out when the outputs are combined.
The reason a split coil humbucker might sound different is because it's two smaller coils, instead of one larger coil. The inductance will be different.
By comparison, a regular dual coil humbucker senses the strings at two locations. The two coils are out-of-phase, and have opposite magnetic polarity. But there is a small area between the two coils that gets canceled out, which is the high frequencies. So between sensing the strings in a wider patch, and some high end phase cancelation, and low end reinforcement, you get a thicker tone than a single coil.
With stacked pickups, both coils are sensing the same strings. The two coils are also wired up out of phase. The magnet polarity is opposite since they either use two sets of magnets, or the magnets run through both coils. The issue is that the bottom coil is still sensing the strings, and if you listen to that coil, is senses mostly low frequencies. Since both coils are sensing the same low frequencies, and they are out-of-phase, they cancel out to a degree.
Some of the newer stacked designs used for guitar pickups place a magnetic shield between the top and bottom coil so the bottom is just sensing hum. But then you have the situation where the top coil is smaller and the magnets are shorter, so it sounds a little different.
This isn't to say that both can't sound like real single coils, but they may not sound like a particular single coil. So it might not be exactly like a particular Jazz, but like a slightly different jazz pickup.
I don't think people should get too hung up on expecting only one tone from a bass... there is no right or wrong, just different. If everyone's bass sounded the same, that would be boring, right?
