Haha, no. There are other ways. Using my ISP as an example, the serial number of the modem has to be registered before you can connect to the network. Also, the MAC address has to be registered. Now, you may use a router and they can't tell what computer behind that accessed what, but they still know which account.
If say... they thought I was downloading kiddie pr0n, they could do to my ISP, view all the records, and see if someone on my account did.
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