Yeah, with the j turned all the way down, it's not the pickup that's effecting the P pickup, it's actually the extra pot. (In fact with a standard VVT wiring, the J will be shorted.) So I'd recommend desoldering the hot wire from the clockwise lug of the J vol pot, and putting in a temporary switch. Now turn the J all the way down, and audition the bass while switching the load of the pot in and out. The difference is
extremely subtle, and only really noticeable if you like new strings and have a bright sounding rig. If you like flatwounds and old school jamerson thumping tone, you really won't hear a difference.
But if you can hear a difference then yeah, there's lots of ways to defeat one of the 250K loads on the P ppickup. Try a no-load tone pot. This way, with the tone control dimed, the remaining vol pots create the same load as the vol and tone pots do in a standard P. Or as KBD said replace the vols with a couple of 500K linear pots. Pretty much the same story. Or even replace the P vol with a
no-load volume pot (my invention!). This way, when the P vol is dimed, the remaning J vol pot and tone pot again, leave the same load as the two pots in a standard P. You could also use a shorter cable with less capacitance. This will have sort of the same effect. You could also use a push-pull and have it wired as the test switch.
But yeah, try the temporary switch first.