The burden is showing that you have under $XM in assets. You'll need to show your net worth somehow, so that the IRS (or equivalent) knows not to tax you. Otherwise I could assure you that I totally only have $1M in assets, with definitely no Swiss bank account or yachts.
I will admit to not knowing much about a wealth tax, so maybe there is an established solution here. But it seems like the default would be a privacy and administrative burden even on those people not paying the tax.
Yes, and then the IRS would say, well, to check that, we need more access to all the data in the world. And people will sell it with "so that we can find the criminal rich people". But they will have the data for everybody.