Would it invalidate his death though? I mean we'd have an actual primal we would feel conflicted about putting down and it would be a smart move by the ascians since they're struggling in their fight against us. You'd have a primal that's more than just your typical Garuda, Titan, Ifrit ect. who are just sword fodder. Shiva was interesting and so was Ramuh since they were more complicated than just a standard primal. I mean I doubt SE would ever do it, but I don't see how it would invalidate his death considering he wouldn't be the Haurchefant we know but a mockery of his person, like Bahamut was according to Tiamat. In spirit Haurchefant would very much remain dead.