As a client, you're still paying for the compute even if it happens on the service provider's side. Running the same computation twice (perhaps by another provider) is 2x the cost; but if you ask the provider to make this proof, that increases the cost 70-95 times according to the article.
With that level of overhead, all kinds of otherwise inefficient approaches of getting compute start to seem comparably cheap. This is progress, but it still needs like a hundredfold improvement in order to become practical; I don't see a usecase where the benefits of this proof would be worth 70x or even 7x increase in cost.