Of course it's working. We've had computers operating in space for decades. There's no doubt it can be done.
The question isn't whether it's possible, the question is why you'd do it just for data centers. We put computers in space because they're needed to do things that can only be done from there. Data centers work just fine on the ground. What's so great about data centers in space that makes them worth the immense cost and difficulty.
I know a lot of prominent people are talking about this. I do not understand it. pg says "when you look at the tradeoffs" well what exactly is he looking at? Because when I look at the tradeoffs, the whole concept makes no damned sense. Sure, you can put a bunch of GPUs in space. But why would you do that when you can put them in a building for orders of magnitude less money?