I hope this provides an additional clue to the tire streak mystery. When I first read this thread I went out and took a look at my PR3s, and found no sign of the offending circumferential "streak" on either tire. That was, what, about three weeks ago? I just ran a short errand and when I got back to the bike I noticed the same streak that has been shown in pictures on this thread on my rear tire. Then I checked the front tire, and it has one too! It's off-center to the right about eight mm, and just barely hits the edge of the center end of the major rain grooves. Both of these tires have about fourteen thousand miles on them, but plenty of tread left. When running a fingernail across either of these streaks I can't feel any depression, so I concur with others here that have suggested the streaks are from the interface between two different rubber compounds. I am still worried about the OPs report of actual rubber removal from them though. That could mean that the rubber compound formed by mixing at the interface is far weaker than the surrounding "pure" stuff. A real problem, if true.
The battery is dead on my camera, but I'll try to get some pictures in a couple of hours if I can get it to take a charge.
Edit: Just tried the camera, and battery won't take a charge. It's only about ten years old too!