I'm afraid that Binance has so huge influence on the market that if it makes mistake, BUSD may get fucked.
BUSD belongs to Binance. So all these tokens are owned by exchanges, and if something happens to them, these stablecoins could crash.
This is wrong.
Binance does not "own" BUSD. The stablecoin is administrated by Paxos (paxos.io), whichs offers whitelabel services so other exchanges or companies (like Binance with the BUSD, or Huobi with the HUSD) can have their branded stablecoin:
https://paxos.com/stablecoin-and-paymentsIf Binance or Huobi breaks, BUSD and HUSD will be fine.