Completely valid and facial points are not silly. Most of the time people choose to pick arguments with me. I try and have conversations.
They asked you to define alpha and you asked if you had to. You aren't trying to argue any points at all, though? I personally think Alpha means you are somewhat self-centered, albeit in a healthy way and sort of a leader. Doesn't necessarily have anything to do with sexual prowess or being a big buff guy. Charisma is important too.
Now that I established what I think being alpha is, I can discuss it with others. Since you didn't, you can't.