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but I'm afraid that Binance has so huge influence on the market that if it makes mistake, BUSD may get fucked.
Using the same logic, USDT may get screwed if Tether makes an even bigger mistake than what already happened to them. It's the same case with the issuers of USDC (Circle) or any other centralized stable coin.
USDT seems to be the safest, am I right? What are the possibilities that USDT may end up like TerraUSD?
When we're talking about the peg to $1, it probably won't lose like UST but the same can be said with BUSD and USDC. All stable coins have asset backings that are periodically reviewed and reported.
Why ask by the way? Are you planning to convert your asset to either BUSD or USDT in this bear market? If that's your plan, consider staking them on platforms like
mycointainer.com You'll have a nice 10% annual return while your token is on long-term storage. As always, DYOR.