At least some of cpu cycles in llms result to useful computation. That is in stark contrast to crypto mining where computation is done for the sake of computation scarcity.
It is a little funny that you're talking about 'safety against money printing' from a technology where you effectively print money. I know its called 'mining' but its really more like printing - low risk, repeatable process, expectable output. I know its not exactly that simple but still gave me a chuckle.