And what's the problem with that?!
Hawkman = Indiana Jones x Highlander w/ wings. The whole damn point is the basic romance of a shirtless man and his ginger woman fighting mythological beasts with medieval weaponry. It's just pure fantasy.
At least, that's what the franchise should be. In practice, Hawkman is a textbook example of editorial malpractice in the '90s/'00s and "The Message" (thanks Critical Drinker) in recent years. Even a Bryan Hitch illustrated (and written...) series couldn't bring him back. It was painful to watch all this happen. And yes, I am totally stealing Hawkman (and Hawkwoman) for my own once he hits Public Domain in 2036.