Well, either way a ruined tire is a ruined tire. Although your description of the damage (some rubber scraped off the bead) would result in a failure unlike the one you described (part of the tire not out as far as the rest). Generally, a frayed or damaged sidewall will bulge out, not get stuck in. And a severly damaged or frayed sidewall near or on the bead can result in a catastrophic, noisy blowout.

And walking or riding a bike with a flat tire will usually create a long linear 'fray' above the bead - not on the bead itself.

Either way, I cannot tell for sure as I don't have the tire in my hand. And the possible result of a damaged tire is serious enough to err on the side of caution.