Also the supply is verifiable through proof of contradiction in which we can use cryptography to prove the lack of an inflation bug which, by contradiction, proves the supply is limited as programmed

Monero Inflation Checker

You don't need to have a mailing address or name to prove custody of the coins. Registered mail provides more evidence in the case of attempted scam when trying to buy monero with cash. That risk is identical on Bisq when buying Bitcoin with cash. You can also use uninsured mail for more privacy but incur risk. You can also use Zelle or another KYC payment app to buy Monero which is a safe and quick method but less private than registered mail. Same goes for Bitcoin on Bisq. You can also buy Monero from a KYC exchange like Kraken, the advantage of that over Bitcoin is that after you withdraw your Monero is KYC free unlike Bitcoin. With Bitcoin you'll need to swap to self-custodial Lightning or use a mixer to break the link. How do you buy your Bitcoin? KYC exchange? Cash without a return address on Bisq? Do you coinjoin your UTXOs?