Alpha wolves are always the dominants of the pack, so I guess by putting 'Alpha' in their name it means that they're a relatively dominant wolf. It could also just mean they would like to start a pack, and (obviously) being an alpha is the way to start a pack. Or maybe, like Lazy Alizarin said, they just want to be alpha for a day. I personally think that it isn't needed unless they are actually starting a pack, but they have their own reasons not said. 'Alphess' I know is not a word but I use it, mainly because it sounds feminine and people created it so that they could have a word for a male alpha and a female alpha.