Earlier quoted context omitted.
Let me add: Only BUSD on Ethereum (ERC-20) is issued by Paxos. The BUSD on the BNB Chain (BEP-20) is not affiliated with Paxos and not regulated by NYDFS. Quoting Paxos: "BUSD is issued by Paxos on the Ethereum blockchain and regulated by the New York Department of Financial Services. Separately, Binance wraps BUSD and issues separate tokens (known as Binance-Peg BUSD) on several blockchains, including BNB Smart Chai…
Yes, but I believe that this "wrapping" should be visible on chain. In the sense that there should be a 1:1 mapping between "real" BUSD locked on Ethereum and the number of pegged BUSD on other chains, and that the accounting can be verified in real time. But I haven't verified.
Offhand, I can't think of a fast and easy way to verify this reliably.