Well given that quantopian hasn't existed long enough for their machine traders to be trained during adverse market conditions, I wouldn't hold my breath.
The bid/ask of instruments become illogical. Bad trade data in the live feed won't be in your historical data.
Intraday during a liquidity drop is mostly based on your relationship with your broker. How they handle margin calls will decide if your trades survive.
For example, traders have had margin calls on option spreads with a known fixed risk at the time of opening. But the individual legs of the trades were making very incorrect markets, so the broker algorithms issued margin calls and liquidated at the worst time possible.