Hasn’t the concept of alphas been discredited/debunked by the originator of the concept? Or is that strictly for wolves?
Resident Orcas would be a notable example.
Since you mention the term in relationship to the public, I actually think that "alpha" as a term to describe someone who is dominant has been doing just fine as a societal meme, despite it being used less among biologists/whomever. In this sense it doesn't seem to be going away at all.