He shines as brightly imo.
It’s things like not being impressed by Doc Strange (he's just another Wizard to Conan), or standing his ground before Doom (meeting Kings and Queens isn’t new to Conan), and being able to spot Elektra tracking him, that let us know Conan’s not just a regular guy.
Even in the old What Ifs i mentioned earlier, watching Conan square off w. and beat Captain America was just classic stuff. Conan’s the best!