... if you own and trust the VPN server and exit arrangements then this is true.
But it would have to be outside the UK to avoid the same fate, since you are in the UK, this makes it harder to trust the service provider and their security services not to find your "foreign" traffic very interesting and not subject to their laws protecting their own citizens' data.
A lot of "we don't keep logs" vpn providers were found to very much keep logs of all your traffic. Some of the people in the VPN business are the last ones you would want to see all your traffic.
Tor might work, or at least change the threat model, but it cannot be used as a high bandwidth proxy.
But it would have to be outside the UK to avoid the same fate, since you are in the UK, this makes it harder to trust the service provider and their security services not to find your "foreign" traffic very interesting and not subject to their laws protecting their own citizens' data.
A lot of "we don't keep logs" vpn providers were found to very much keep logs of all your traffic. Some of the people in the VPN business are the last ones you would want to see all your traffic.
Tor might work, or at least change the threat model, but it cannot be used as a high bandwidth proxy.