Not just at settlement, if one of the index exchanges goes insolvent and the price of BTC goes parabolic, it may push your short position past your brokers assigned personal risk tolerance for your account and they'll liquidate you. You'll be right, but broke.
I don't think FTX has any policy on this matter other than that they will liquidate you if you are sufficiently under-collateralized. A move in the price of an unrelated asset would not cause you to be under-collateralized.
I'm referring to a real SEC regulated broker like InteractiveBrokers which allows you to buy and sell /BTCG1 futures. The price of the /BTCG1 future is calculated based on a blended average of the spot price at a bunch of other exchanges (the "Bitcoin Reference Rate" or, humorously, BRR).
The current maintenance margin for a /BTCG1 contract is 40%. You're required to have enough margin to cover 40% of the notional value of the contract which is 5 BTC, roughly $100,000.
Let's say you only have $200,000 of margin. A parabolic move towards infinity in the BRR due to insolvency in some of the exchanges involved in the calculation may double or triple the price of BTC. Further, the high volatility may increase the margin requirements beyond 40% and up towards 100%. This means you're going to get a margin call, and you either post collateral or get rekked.
