How are they different? In core workings they look very much the same to me.
DAI requires 150% collateral in a currency completely outside the system that it can't burn or mint.
It is a big difference.
edit: UST is going to be collateralized in the future if it survives this https://twitter.com/stablekwon/status/1524331190995484672
And they are both run by algorithms.