Maybe. RaspPi's are both cheap and ubiquitous making them ideal for cheap fun gaming, have static hardware spec's making them easy to target, and that an increasing legion of games fall under "retro" these days. I mean, there's a list that includes titles like Quake 3, Jedi Academy, Tyrian, Cave Story, etc. There may be a lot of untapped potential there, maybe a separate ItchOS distro to serve as a RaspPi game hub/store front?
Viewing post in ItchOS
I am not saying that's not a good idea, it's just a different scope. I am sure a RaspPI would make a great little console: but you have still to "target" the platform somehow, for example the kind of driver and such (gpu is mali, ardeno, tegra...? all drivers into a single arm live distro?)
PC desktop platform are, instead, made by design to be bundle with bunch of drivers. This make easier to build up a live distro just to run for a "itch" when you want to boot/reboot any "unknown" pc rig.