I don't know what alpha theory you are talking about, but as far as the accepted definition of alpha goes[1], it's "Denoting the dominant[2] animal or human in a particular group".

So as far as I can see, the word was being used in the correct context, implying the correct accepted definition. So it seems a bit strange that you first claim that not only is the wrong term being used, but that the term does not actually exist (or is accepted). I'm curious what you think, so would you like to expand on why you disagree?

[1] "Denoting the dominant animal or human in a particular group", http://www.oxforddictionaries.com/definition/english/alpha#a...

[2] "Having power and influence over others", http://www.oxforddictionaries.com/definition/english/dominan....