You think that using a VPN is protecting you from the website you’re connecting to logging that traffic?
No. The website sees the traffic. The only thing they don’t see is your home IP address. That’s not even a useful piece of information for tracking someone. Home IP addresses are usually dynamic.
Websites track you through cookies and etags, and VPNs do not block those. If they did, you wouldn’t be able to log into any websites, and you would always be redownloading JS, CSS, and fonts you’ve already downloaded.
(Copied for convenience, since your comment is duplicated.)