Alpha male means personality type. It is nothing to do with looks. Forget the caricatures and ideals online, they are feminist and PUA fantasies.
Contrary to common belief among 'red pilled' men, it is the alpha male who is unsuccessful with women, in terms of relationships.
For the simple reason that he will not be controlled. He might attract her viscerally, but that is insufficient for her full attraction.
She can tell very quickly that you will be demanding accountability and sincerity. A woman does not want these things. She wants to manipulate you, she wants to place demands on YOU.
So any visceral attraction to an attractive alpha male is quickly battered down by her realisation that she will be dominated, not the other way round.
The perfect man for today's woman is the beta male with an 'alpha appearance'. Looks good but can be controlled. Does not complain, does not argue, does not demand.
MGTOW consists primarily of alpha males, hence MGTOW cannot bear to be in a modern relationshit where the woman demands control.
Watch and learn.