It’s sad to think VPN logs might be accepted as a source of truth. They probably are in most countries, but they really shouldn’t be.
If your crime is downloading Frozen, and the authorities can’t find any trace of the movie on the device the logs claim was used, then it would be shameful if the logs alone were enough to convict the person.
Same way you trust hey.com not share all your email with everyone publicly. By building some kind of trust, describing how they work, their policies, being clear about how they make money and so on.