High-G exposure doesn't generally kill because of lack of oxygen. Hemorrhaging is what happens during extreme Gs, especially negative ones, while during positive ones, it's usually... well, actually, I dunno. Probably the plane crashing because you blacked out (or got blinded, this is a known side effect of extreme G exposure). I don't think high Gs are a common cause of death, even rockets don't generally exceed 20G. Heck, unless aborting, they rarely get even that. Unmanned Soyuz launches make 5 at most, other rockets probably keep around that value, too (too high TWR is inefficient). You can get around 10G in the Hornet or older F-16s, and that's it. Perhaps also some Russian fighters. I know that even the new F-16s won't let you go above 9, ditto for Raptor (IIRC). In general, in most cases dealing with high Gs (long falls and explosions), you've got bigger problems, such as burns and blunt force trauma.
Really, 10G for 1 minute would kill only if it was applied downward. Human body has a notoriously low tolerance for that. And even then, it'd kill by a hemorrhaging, not hypoxia.