i'm afraid ChatGPT was wrong about the asset registry. the EU parliament's tax subcommittee most definitely does want such a registry.
here [1] is a feasibility study released by the EU in 2024 re: "Feasibility study for a European asset registry in the context of the fight against money laundering and tax evasion".
There are already national registries of land, residential/commercial buildings and most types of vehicle. Business ownership and shareholding is also a matter of public record in most territories.
And while there may not be a national requirement for registries of other classes of high-value financial asset, you can bet the banks know, and above a certain size, $100k or so, I can't see the down-side relative to what's already legally mandated. (By all means argue for "total privacy", but this is not what the law has decided on in most places - that ship sailed long ago.)