A stablecoin that backs its assets in the currency that the stablecoin issues (for example a USD-based stablecoin that is backed by US treasuries) won't be affected by any disruption in the market. An exchange that is fully backed and does not allow margin trading won't be affected either. Regular holders who hold their own coins or use responsible exchanges also aren't affected.
Yes - there's quite a bit of propagation. But all entities affected by that propagation didn't seem to have proper risk management and used business practices that work well when the market does well, but that fall apart in case of high volatility. Maybe I'm just biased because I'm not a fan of margin trading (and similar practices), but I don't consider it a disadvantage if an ecosystem is hostile to those types of business practices.