I bought a role of Leukotape P and tried it out. I was on a short run (4 miles) Saturday and got my feet completely soaked, which is not a recipe for happiness. Sunday morning I stuck my running shoes in the dryer and looked over my feet. I have a recently-healed blister on one toe, and when my feet get wet my heels are the first place that I get hotspots and blisters, so I taped up the toe and my heels with the Leukotape P.
After 11 miles, my feet felt great, no blisters, and the tape hadn't budged. It came off leaving a small amount of easily-removed residue near where the edges had been. The smooth surface of the tape didn't irritate my other toes where they were rubbing against it.
So for me, the Leukotape P is less expensive and works way better than moleskin. It also holds better than the trainer's tape I've been using.