For documentary purposes, if anything.
I finally did and tested my wiring idea with splitting P pickup and blend.
Idea here that switch allows to split P pickup and send treble side over ring of output jack, independent of bass side and J.
In default configuration (switch A) sides of P are in series in correct phase, and together form regular P pickup that goes to one side of blend, J going to other.
Then blend allows to either dial proportion on Tip, or send P and J separately over Tip and Ring.
In switch B position P pickup's treble side is send over Ring, whereas bass side is sending remainder of the signal to blend. This way blend can be dialed to P only, which is bass side only, J only, which is all strings, or combination of them (but I find volume difference unpractical, for what practical is worth here). Then blend is send over Tip as usual.
Dual volume pot per taste, and I skipped tone controls.
If someone ever needs this, pay attention to switch wiring, this part is easiest to misinterpret, and when doing actual assembly pay attention to phases of halves of P and J in all combinations.
I tried this combination, and I like to use 5th down synth with treble, and "clean" on tip channel. This way strings B-E-A give regular bass tone and D-G give "power chord-y" sound, like piezo with individual sounding will do. If I dial J I get bass for all strings, if I dial P I get bass only for B-E-A.