What's this have to do with a movie made in 2022? We're better than this now.
Which is, I believe, what TG1 is saying, that we no longer have to perpetuate the mistake of making an Egyptian pharaoh look like Flash Gordon.
And I'm talking about Hawkman. Not anyone from his past. Current day Hawkman. Who can be cast as anybody.
Except, as the above panels and Legends of Tomorrow show, the convention from the beginning has usually been to depict all of Hawkman's and Hawkgirl's reincarnations as identical in appearance. Smallville did the same with Michael Shanks. Yes, you can argue generically that there's no reason a reincarnated soul has to have the same body, but it's a commonplace fictional convention for this kind of story to keep the various incarnations of a person recognizable to the audience, and to avoid having to hire multiple actors to play what's narratively the same character. Given that that's usually been done with Hawkman, it's logical to expect they might do the same in this movie, regardless of the more general logic of your argument.
So within that context, if only one actor is playing every incarnation from Khufu to Carter Hall, then it's a good idea to cast someone who resembles the historical Khufu's evidently Nubian or similar appearance. Although the Khufu depicted in the carving I linked to looks more like Christopher Judge, maybe, than Aldis Hodge.