Those people are in for a series of nasty surprises if copyright enforcement ever grows teeth, because whoever's providing such a VPN service with backhaul certainly has enough information to tie them to their activity.
If they don't store logs they don't have enough information. That is the reason why a lot of companies that provide this service are incorporated in countries that don't require them to do so.
I can run a VPN service and not store logs. I can't prevent whoever sells me that service's bandwidth from storing logs, which they likely will do for troubleshooting purposes if nothing else.