Why would hodlers have problems?
Nobody knows that you're a hodler until you tell them about it. Even if you tell someone there's no way to prove it, unless that person also knows how you got your coins or you paid for it by sending money from your bank account to a centralized exchange.

Then what happens if they told people and there's AML rules?
Again nothing. AML regulation is not a ban. They can't ban bitcoin because they're a member of the EU the EU already has laws regarding it. Bitcoin companies like ATM operators are already a part of EU AML procedures.