I guess I have always had a different take on what an 'alpha male' is and the traits/behaviours that they exhibit, and to be honest women, attractiveness, intelligence and sex appeal never played into it - I also never use the term 'alpha male' in relation to 'beta male' or 'omega male', those terms aren't even in my lexicon.
Growing up, I spent an inordinate amount of time socializing and competing amongst males in exclusively all male environments. What I consider to be alpha males tended to be relatively physically powerful, but not always the most physically powerful, and also hyper competitive. They could be bullies, but that also wasn't a necessary trait. They would be less concerned about a threat from an obviously weaker opponent, but may dole out punishment as a warning to not try and challenge them. Most of their attention was directed towards knocking off their rivals and being dominant.
An example was when I had two male friends that I considered alphas, that hadn't met each other before, meet at a party. A simple game was played, once all other players had been eliminated and they were the final two, they just started to fight with each other, and it became an ultra-violent fight with objects used as weapons. We were seven years old.
Both those boys were naturally strong and athletic, but neither of them had success on sports teams, they would get cut because they would either challenge the coach or be disruptive to their teammates. Neither of them did well in school, both became more prone to ultra violence in adolescence and neither found conventional success in life or relationships. They are hard people to be around.
Today playing sports in my forties, I still commonly find players with these same personality traits on almost every team. Is there a better descriptive term to describe their personality type? Maybe but whenever the label 'alpha male' is used to describe these individuals everyone understands what you are talking about, which is kind of the purpose of language.
