That VPN provider would likely be out of business extremely fast. If you offer a service that's supposed to increase privacy, and it doesn't... who's gonna pay for that service?
Of course exceptions apply with law enforcement, but then again your threat model is very different there (and the VPN provider in question will not be able to say no).
That being said, there are VPN providers who guarantee that no logs are kept (I believe ProtonVPN does this) and are extremely privacy-oriented. I am inclined to believe these companies, if all I'm doing is pirating a few movies.
