(with the exception of USD coin, TrueUSD and Paxos Standard Token).
these coins are called "stable coins" for a reason! they are supposed to ALWAYS have the same price no matter what is happening in the market. the most famous example is Tether or USDT and as we all know they are not really that stable, they also fall from time to time and worst of all is that they are centralized and risky to use.
as for the price drops, this is only because of manipulation and the BitcoinCash crap that is going on these days. and as soon as it is over we will be back to normal with bitcoin price.