It isn't anonymous. DNS server resolve, IP addresses by hostnames. It cannot then inspect further traffic but it certainly can log your IP address and all URL's a given IP ever hit.

Since ISP know your identity, and all it takes is to (request and get) the DNS logs and ISP servitude for all sort of questionable information, you as an identity are giving away all sites domains you visit.

Hi. If your response involves explaining the very very basics of DNS to someone that clearly knows what DNS is, please consider the possibility that you may have misunderstood them instead of lecturing them on the basics of ubiquitous internet technologies.

> It cannot then inspect further traffic but it certainly can log your IP address and all URL's a given IP ever hit.

Correction: they can log host names/IPs, not URLs. The path of any given URL is part of the HTTP header, invisible to onlookers (assuming HTTP and assuming HTTPS is uncracked).