Gamers in space with 300fps and no lag. In the future when I get sniped in matchmaking it’ll be by an astronaut.
A gaming computer can use 1000W. Google says spacecraft radiators reject 350W/m^2.
If my math is correct (no guarantees) you'd need a king-sized-bed-sized panel just to cool your rig.
Not to rain on your back of the napkin math. Although I think your sentiment is right, the cooling systems for computers in space would need to be bigger since you can use convection to move the heat away.
Computing isn't doing work in the physical sense. An HDD of ordered data doesn't have more potential energy than an HDD of data in a different order.