The bottom one specifically, it is impossible.

All exchanges, even SEC regulated ones that are following all laws...

Each deposit is done through a uniquely generated address for basically one-time use.

They are randomly generated at the time of deposit. So those wallets are automatically "unregistered"

They can propose laws all they want, but if those laws make it impossible for blockchain to operate then nobody will abide by it, and they don't have any real way to enforce it.

Happened a few times in BTC's past.