Have you run the numbers? It would be hilarious, in a way beating them at their own game by feeding them so much data that they can't process it anymore.
Such an approach would require encouraging tens of thousands of people to download and use Wasabi and compromise their own privacy in doing so. Not a great approach.
And on top of that, with storage being relatively cheap to purchase for big businesses, I doubt there would be enough willing participants to overload their systems anyway. I'm also pretty sure that if the source of that information is from 2008, things have probably moved on since then and they can hold data for longer periods now.