Yes, something like Tor will do the same as my ultra-complicated anonymizer.
reason, once that you connect through an internet provider that it doesn't know anything about you, you're not their customer, you don't have an account with them, you can hide there, for example, when you go to a Panera bread (and now Corner Bakery too) they just assign you an internet address from their pool of available addresses and then you can start using their free Internet service, but there's no way for them to identify who is using that, and more important, where does he/she live,