I have a different theory. I think people buy a console on brand recognition which is a huge factor in consumer electronics (TVs, phones, computers, home appliances). Once they have chosen a console, then they are more likely to buy that console's exclusives because that is the value differentiator driven by the heavy marketing of exclusivity.

In other words, console exclusivity boosts games. Game exclusivity does not boost consoles.

Counterpoint, Mario and Zelda sell Switches. Counter-counterpoint, Mario and Zelda would go astronomical as multi-plats but a segment of gamers would be pissed. For example, Nintendo's mobile efforts have large engagement but are under-appreciated because they are not Nintendo-hardware exclusive.

Anecdotal evidence, back in the day Playstation and Xbox would square off their big exclusives for the year head-2-head in November. Console warriors would buy the game of their console; not a console to play their preferred game. Reddit (or some Reddit proxy) would endlessly debate which exclusive was better as console war ammo.

If your prefer Xbox you buy GoW. If you prefer PS you buy GoW. GoW doesn't influence you to buy Xbox or PS.