Well, the coil tap switch is a really small hole, and in light of how it's already been modified, I don't think that would be that big of a deal. It may not make that much of a difference in tone depending on what it's going through and what style music, etc. Heavy distortion won't be as noticable as cleaner styles. Mine's in the neck postition, (hey, I didn't do it) and I think singles sound particularly cool there, so YMMV.
I see on another thread a Jimmy Page mod to LPs is being discussed and it seems there are push-pull pots you can get that let you coil split while retaining a volume or tone function.
It can't but add more versatility to the tone. Hmmmm.......