Websites can't fingerprint my dns packets by their clock skew, nor can they assign me a unique IP address for a dns lookup (what?). "Don't go on the internet" isn't a great starting point to improve things.
Used to fingerprint your TCP packets when i built a large neobank. Could easily tell if you're behind a proxy, falsifying your user agent via syn numbers, and more. We used it to detect bots but it could be easily be used to fingerprint individual users. DNS trick is already used for DNS based CDNs, you can just keep refining it down to more specificity. CDN edge for each individual user.