I am a pro-Dome guy. My posts have demonstrated that over the decades, well-before AT&T Stadium was even thought of. Weather can influence players' performance significantly and/or just introduce wacko variables.
Receivers and running backs can more easily fumble wet balls. Slips and falls generally happen far more often in wet conditions. Wind can blow passes, punts and field goal attempts sometimes YARDS off-target. Lightning can disrupt the flow of a game, changing a team's momentum. The list goes on.
I prefer controlled conditions, where teams have NOTHING affecting game play except maybe crowd noise--which is not a weather condition. That said, NOTHING weather connected factored into Dallas' performance and outcome in Buffalo. Zlitch.