Well I mean, yeah. He owned the company so why wouldn't he give himself the championship.
Not only that, the circumstances of his first AWA Championship was
supposed to be mired in controversy. The first official AWA Champion was Pat O'Connor, who also held the NWA World Heavyweight Championship. Pat wasn't under contract and thus wasn't obligated to defend a title that he technically wasn't under contract for. Verne successfully propogandized that Pat O'Connor didn't deserve the title (that again, he didn't even really hold) and had the "championship committee" (read: Verne himself) award him the title by forfeiture.
Additionally, Verne also held the Omaha version of the World Heavyweight Championship (a legally recognized world title at the time), thus the AWA title was considered more or less an extension of that and the NWA title.
The history of wrestling in the 50s and 60s is all full of stories like this but Verne's derring-do is legendary for good reasons. He set the blueprint for Vince McMahon Jr. down the line.