Most of my experience has been with bass humbuckers, so please take that into account! I have a bass wired to do series, parallel. I can also activate or de-activate each coil on each pickup. I also have a guitar wired to do standard humbucking, single coil (both S) or single coil (N-S "humbucking")
On both bass and guitar the biggest difference has been single coil/series. On the guitar, there is a very subtle difference in sound between SS and NS single coil settings. I don't really notice a difference in humbucking, so if it's there that's subtle too.
On the bass I have never really used the parallel setting. To my ear it sounds almost the same as series, but quieter, or just thinner, but not really like a single coil, so I didn't bother with it on the guitar.
The resistor idea is interesting, and worth experimenting with. I have never tried it, but I saw a guy on Youtube who did sort coil-split-varitone switch. Based on his results, I don't think I'd do the varitone...but I'd seriously consider the 2.2K resistor. Maybe with a switch to go full HB-2.2K-SC?
Not sure I understand what setting 2 is? Is that switching coils? I haven't tried it on a humbucker like yours. I have only done it on rail pickups and on G&L MFD humbuckers that have screws on both coils. On the ones I have tried the difference is not audible...but that is probably different on a pup with a slug on one side and screws on the other...if that's what you have in mind?