How do they intend to ban anonymous crypto account especially for a private holder, a private crypto Holder is probably using decentralized wallet, you can barely even Identify who the owner is or neither can you have access the content of the wallet. My bitcoin asset is my private property and i will not go out to start telling anybody about my assets, so not to start attracting government agencies. The decentralized nature of Bitcoin has placed the EU plan inconsequential, this threat can only work for the fizzle minded. If the EU are looking what to control, they should focus on fiat, if they had this kind of focus and strict rules on fiat, I believe by now no EU funds will be misappropriated or diverted.
Sure, they can't ban crypto in itself, but they can ban about every usecase you have... Force strict KYC/AML for all vendors accepting crypto, force strict KYC/AML for each and every exchange, ban everything that has some remote link to privacy (like mixers)... Sure, you can still make a wallet, but if they strictly controll every way you spend your funds, crypto is reduced purely to p2p transactions, limiting the scope immensely.