That's an excellent argument against KYC measures. Once I'm knowledgeable enough on BTC and altcoins to operate without the assistance of an exchange I'll make sure to try to remove my traces.
I'm yet to see some valid arguments for KYC.
Those who want to commit fraud can make fake accounts bu using stolen or bought identities just like when facebook required you o register your phone suddenly thousands of accounts made in the poor countries were selling likes and follows. They were buying thousands of prepaid cards and pumping accounts for money.
KYC is pumping the market for stolen accounts and identities and being a nuisance for the average user.