No, Bovada is the unique name. Brovada refers to Italian food, while Boavada is a mistyping.
Also, Bodog is a brother site targeting other locations (Canada, Latin America, and India).
Moreover, Bovada Lv, Bovada.lv, Bovada Betting, Bovada NHL, Bovada NBA, and Bovada UFC are all referring to Sports Betting on the Bovada site.