After thinking about it, I wonder if the weight of the TPMS sensors contributed to the failure. Since I was down to 4 working TPMS sensors, anyway, I removed them all from the PC for the last trip.
By the way, I can't agree with the statement about rivets being superior to welds, just because it's common practice on planes. I'm an amateur plane builder, so it's a subject I happen to be up on. Airplanes are riveted because they're built out of aluminum, which is difficult to weld. That's the only reason. The last thing you want on an airplane is moving parts -- it leads to metal fatigue. You certainly don't rivet wing panels because you want them to be free to move around.
A spot weld done properly is the strongest solution possible, especially with tin parts, and should have been used in a critical application like this. The only reason those pop rivets are there is because those valve extension mounts were an afterthought.
As to "not inspecting tires in 1000 miles" -- that seems a little harsh. I consider myself a very conscientious RV'r -- probably more than most. I do a walk-around on most gas stops, but that last 900 mile trip I mentioned included only two gas stops, the last after dark. It could have easily been missed -- I certainly wasn't looking for it. But I will be in the future, and I hope that anybody reading this does likewise.