It's not intentional from the AI companies, but active effort from the brands. It's GEO, the AI equivalent to SEO.
I won't get into the specifics, but its not that hard to influence the AI towards your brand.
Now that they'll start selling ads though, I wonder how things will play out.

Being on Steam means I'll download the game, and it will run on my stable environment, regardless if the studio closes down or decides the launcher is no longer Linux compatible.
Something that happens once in a blue moon and is immediately caught by Valve? I'm good.
Which ends up requiring a third party to maintain a Linux launcher because the official one was sold to Microsoft which makes it problematic... Are you trying to prove my point for me?