Theoretically a big enough crash could cause the collateral to drop faster than liquidations happened, and that could cause a run on DAI to cash out the collateral that's left before it runs out
Would DAI be able to defend peg or also fall and accelerate fall of ETH?
People wanting to withdraw their ETH from collateral would need to get DAI on the market to pay back the collateralize DAI loan to get their ETH before it's liquidated. This should initially drive DAI over 1$ peg.
Would liquidating loans drive down ETH further? What exactly happens to ETH form liquidate loans? Is it sold? Is it burned? Does it happen automatically or is decided by owners of Maker token?
Though I'm a perpetual pessimist (and saw the UST/Luna failure mode in five minutes of reading the whitepaper), I don't think DAI can death spiral as it right now.
DAI is currently backed by 47% USDC, 17% ETH, 7% WBTC, 7% USDP (very like USDC), and 10% USDC/DAI Uniswap LP positions and 4% "other". DAI is backed with 150% assets per DAI.
Since only 28% of DAI's backing is non 1:1 USD backed assets, even if ETH, WBTC, and whatever is in "other" where to zero, there would still be > 100% backing for the remaining.
FRAX though, FRAX could death spiral any time now.
Then the peg would break
Basically DAI might break peg if the backing assets became illiquid (no buyers).