The Buddha was male, so was he an "alpha male"?

The Buddha was male, so was he an "alpha male"? It's a facetious question. Are Buddhas e.g. submissive and androgynous? I am asking because 'alpha male' is a recurring idea in Western culture right now, and I wondered what Buddhism and the imitation of Buddhas' character, has to say about that. An answer claimed androgyny is "consistent with Buddhist philosophy". No self may imply submissiveness, in some ways: not putting your own "me" and "mine" first. 'Alpha male' is strongly tied to the senses and wealth, status etc.. Which clearly Buddhas reject as mundane. So I was thinking "no"; but perhaps Buddhism offers a critique of 'macho'.