I think there are two types of ALPHAS.
The one they are talking about is the DOMINANT type.
The other is the LEADERSHIP type.
Good observation - But I’ve the latter type (The Leaders) refuse leadership roles in favor of a different path. Norman Schwarzkopf comes to mind. He could certainly take charge as a leader, but has chosen not too. I do regard him as a wise man, a John Wayne type - But since he is so “Out of the limelight” I don’t ‘have the ability to confirm that.