How would renewables perform during huge Winter storms?

I know that wind turbines tend to shut down to protect themselves, so probably not great.

Out of curiosity, I asked ChatGPT, and interestingly it added the following: "Fossil fuel-based power plants, such as coal and natural gas, can also experience disruptions due to extreme weather."

Now I wonder if this is true. Some web research brought up turbine failures at low temperatures. I'm sure that happens, but anyone knows if this is bad enough to be a relevant problem?

Cold isn't a problem if you don't cheap out like texas did before 2020. High winds require shutting them down, but most of the US seems to be operating at above average capacity.

https://app.electricitymaps.com/zone/US-CENT-SWPP