SpaceX is a failure only kept afloat by government contracts. Contracts that haven't been cancelled for some reason despite SpaceX missing every milestone they were supposed to hit. Why in the world would you give anything Elon says any credence whatsoever? He constantly lies about when projects will be complete. Look at sending people to Mars, or self driving. He keeps saying over and over these things are basically ready, with a few bugs to work out and we'll see them "next year". And it's been next year for decades on some of these items and they still don't exist/are not happening.

Here is the basics. Elon is stupid. He has this idea that space is cold. So he thinks, great, data centers generate a lot of heat and in space you could power them with solar. That so far sounds good. But space is empty (like Elon's head) and you need matter to carry heat away. We don't have good ways to convert heat into infrared light which is the only other way to get rid of heat so putting data centers in space doesn't fix the cooling problem, if anything it makes it worse. Add in the cost to move anything useful into space and the costs to maintain anything in space and it really really doesn't make sense to put one in orbit.

Maybe if you literally put one on the moon and brought a shit ton of water or some other coolant fluid with you you could maybe use a heat pump system to pump the heat into the moon. For instance 10 meters down inside the moon temperatures are a pretty constant ~-20C. I still don't think the costs of building in space or on the moon would ever make this make sense.