Apologies if I implied intimidation and lying are good traits. However, I do maintain that they are alpha traits. Lying, maybe not sure much, but intimidating, definitely. Being alpha isn't necessarily a good thing. Like all labels, and especially for a label as complicated as "alpha", there are good and bad parts to it.
Honestly I dislike using the term alpha, because it's so inflammatory. Its hard to talk about what alpha means without bringing up beta, and the moment you use those two words then it sounds like redpill-speak. However, there are certain kinds of people who are confrontational and very much extroverted, the kinds who don't back away when challenged. I see alpha as a way to describe these traits as they are, with no moral conclusions attached.
For sure Chess players can display alpha traits, but it's hard to see how Chess players are MORE alpha than Diplomacy players. An entire game of Chess can finish without a single word exchanged, and it's rare and unprofessional for violence to show up in Chess, though it does show up time to time. In diplomacy, violence, albeit only verbal, is the norm. A nonconfrontational person will never survive in diplomacy, but they can do well in Chess.