Aww shucks, that's what they make bead sealer for! Just slather that baby up and let her rip!
Joking aside, from a technical standpoint those tires are damaged and should be replaced. From a real world perspective? Up to you? We do a lot of tire change overs and I see a lot of tires with tears, nicks, missing bits around the beads that run fine. Does that mean it's okay? No, probably not and I don't know if I would run that first tire on my own off-road rig that I'm going to air down and up a lot. So at the end of the day this falls under the "how cautious/conservative" are you and how willing are you to roll the dice? Tire might be fine until she goes bald or she may blow out in 500miles, no one can really say unfortunately.
Post Note- it could also just be from the tires sticking to the rim (some of the older steel wheels seemed to like fuse with tires breaking the bead sometimes tore them!) and/or a poorly maintained tire machine or one not designed for those types of tires. It took forever to get our old one replaced years ago, even the Hunter guy said it wasn't designed for the low profile and big heavy offroad tires we do from time to time. Damn thing was so clapped out that some days you do everything right and it still decided to burrow into a rim and **** your afternoon over.