Dave Mech who coined the phrase "alpha pair" when watching a wolf pack later revised his thoughts after further studies and observations, discovered that there is no real "alpha pair" the leaders are whom ever is taking the lead at the time, it can vary depending on the situation.

I don't believe you'll be able to get rid of these titles they're so entrenched into the societal brain. Re defining them sure go ahead. Alas many people like to ego boost themselves by calling themselves "alpha"