I don't have any way to prove I'm not logging your traffic, but I am a big believer in privacy and promise not to. If you don't trust me, you don't have to use it.
According to the Supreme Court you don't have any expectation of privacy in information given to a third party so whether the VPN is in the US or not does not matter.
It sounds like you're in the UK - I'm a US person, if I give you my traffic, what will courts say about my expectation of privacy?