[sgbeal]

> 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).

[hirako2000]

I can't edit. That is correct. URLs can't be known to a DNS server. Just the hostname and IP.