He's right though and depending how much money you had on the exchange, you might have committed a financial crime by lying about your identity. Using a fake name and withdrawing/depositing money under it, IS money laundering, and what you have done, a crime.
Either way, you've essentially forfeited your money in the near-term.
I withdrew it to accounts with no name on.
So I bought/sold btc in a fake name, and deposited them to accounts with no name.
In what country is using a fake name to sell bitcoins illegal?
What law was broken by registering on a slovenian site with a fake name?