AUS was one of the first airports in the US to offer WiFi. Wayport, a pioneering company in WiFi, is based in Austin.
also has Wayport service (for which a fee is charged), and most AA
Admiral's Club locations have the T-mobile WiFi service.
Personally, if I were paying $300 or $400 per year for a club membership, I'd expect complimentary WiFi. It's not that expensive, and it's super-convenient. In fact, depending on the size of the room, it can be less expensive than wired access.