Feral didn't strike me as being bothered by the injuries. Angry yes, but not enough he pulled back from the fight like City Hunter. Small good acid will do you when he doesn't give a shit about a missing arm. Cloak doesn't do him any good but outside Covenant, do Aliens have eye that this would work on? Not like he maintained cloak much either given he was often getting into fist fights anyways.
And further from a quick google search, wouldn't a grizzly bear be stronger physically than the Alien? Not that an Alien couldn't overpower it, but we're talking what I can only assume is a grizzly and any other opponent should be gored or crippled. Further by the time he catches up to Naru only possess minor injuries and was ragdoll by it.
Celtic was at least comparable to Grid. But we're talking a fighter who has no issues getting mangled and left largely unscathed by its fight with the bear and could otherwise take a stab wound that Chopper and Scar otherwise couldn't. I think the fight is with the more modern renditions of the Alien, but Feral is such a breed of stupid I don't find the Aliens defenses meaning all that much to it. Yeah vision might be a problem, but we don't know if Feral had any other vision mode and Prey continued the uncertainty of Predator POV so god only knows if that's a problem to begin with.