You might think so, but the similarities mostly end there. Game 6's director (the man who brought us, er, Soapdish and Gambit) is not quite so adept or flashy a craftsman as Iñárritu. But the script by Don DeLillo may be leaner, better beast than that of Birdman. It's basically an economical 1.5 hour amalgam of his more accessible novels. Obsession with classic baseball games as metaphor for life (Underworld). Reclusive writer disconnected to his own work (Mao II). People constantly switching vehicles and seeing people they know in traffic jams (Cosmopolis). There's even an "airborne toxic event" (White Noise), here represented by an asbestos cloud.
Game 6 is one of those little indies that came and went in the early aughts without making much of a blip. It's a shame because it's good little film and a fine pre-"comeback" Keaton comeback performance.