In an interview with USA Today, Vance, a Cincinnati Bengals fan, suggested the league might put a thumb on the scale for the Chiefs due to the high-profile relationship.
He cautioned against a Super Bowl wedding thing and insisted the Chiefs should adhere to the same rules as other teams.
Despite his apprehension, Vance congratulated the newly engaged couple, wishing them well, but stressed that politicians should focus on politics.
Vance's remarks come after NFL Commissioner Roger Goodell dismissed as ridiculous conspiracy theories alleging officials have made calls in the Chiefs' favor.