Heat death of the universe would like a world with you. And before you say that it is so damn far we should not care about it, meaningful space travel is similarly so. We should save our own planet because a goddamn apocalyptic Earth after ww3 is still a more livable place then any planet in the Solar system.
Also, is being globally connected to each other with comparatively less energy expenditure bad? How about hosting free educational resources, but even just fun things? It is not comparable to hashing random numbers for proof of work levels of useless.