Dan,
A few years ago I was down at my buddie's garage when woman drove in with a brand new Cadillac. I think it had about 400 miles on it. She had driven off the pavement and turned hard to get back on and some gravel got between the bead and rim of the tire and of course it went flat. Jack took the tire of and cleaned it out and was going to put it back on and she would have none of that. She demanded a brand new tire as that one was flat. So Jack sold her a brand new tire and put that one in its place as it still had the little rubber strings that used to stick out on new tires on it. None of us could convince her that the tire was ok as she was sure once they went flat they could never hold air again.
Ron