Prices are actually not so stable and can even drop below $1 for most of the time as I can observe on platforms.
Yes, that is true, we have also noticed enough shakeouts in BUSD/USDT when USD Index (DXY) was doing great which plunged USDT and it shot down to $0.97 against BUSD that was enough to shake anybody's beliefs in stablecoins as to how stable they are. Please visit charts at Binance and check for dates 18/4/21 and 19/5/21. This can be taken as an example while using stablecoins and it is also not good to keep all your eggs in one basket, like going for USDT or BUSD only while trying to keep your assets safe from manipulation.
Yes,,, and 97 cents does not look like much but that is still 3% drop and this in the context of being a stablecoin is a lot of money. Not to mention that fees in most exchanges including Bittrex and Binance is about 0.5% of total for stablecoins the last time I checked you are losing a lot of money with every exchange.