I don't actually perform out, but I tend to practice some stuff almost like a performance, if that makes sense. Especially with looping, I can see a lot of times to switch from single to humbucker during a song. When I play "Watermelon In Easter Hay" with loops, I do it almost every time (assuming the guitar has taps - the 408 is great for that). With the push-pull, going to humbucker mode is dead simple. It's going to single-coil that never feels smooth to me.
I'm not a wiring expert, or at least not on the level of some of the guys here, but since the DGT has both pups wired to one switch, couldn't you just disconnect the tap wire from the bridge pickup from the switch? You'd have to tape it off to avoid it touching anything and generating noise, but wouldn't that take it out of the coil tap equation?