That "but" is demonstrably wrong. There are lots of places that are heading towards relying exclusively on renewables where nuclear, coal, and gas plants are basically shrinking in use as the grid expands to shift to being exclusively powered by renewables.
Most of those places are not affected by blackouts being a regular thing. I can't remember the last one in Germany, which has lots of wind. I can't remember a single power outage lasting more than a few minutes/seconds, ever. I'm 46 and I only experienced only a handful of those. Just not a thing in Northern Europe. We have interconnected grids and coal/nuclear are basically disappearing rapidly. I believe the UK had an interesting cascading failure on its grid last year and that was big news because it is so unusual. That only lasted for a few hours.
If you look at the economics, it's pretty straightforward. Texas was an early adopter of wind because it's a cheap option for generating power and it takes power to produce power. So a lot of that Texan wind power is actually used for oil and gas production and was installed primarily for that purpose and payed for by very much for profit oil companies. Probably with the help of a lot of tax money because big oil basically owns the local politicians.
Ironically, the thing that's currently driving up the prices of gas in the US, is basically oil and gas production being affected by the sudden demand for gas for heating. As demand spiked, gas production capacity started dropping because the electrical grid got disrupted (which is of course about 50% powered by gas plants in Texas). Probably Texas is more reliant on gas now than in the past, which is probably a big reason for the current issues.
Yes, some older wind turbines are not capable of dealing with cold weather. Texas of course has lots of those as it was an early adopter and is not commonly affected by cold weather like this.
But there are lots of regions with extreme weather that have large deployments of wind turbines that reliably produce power through very extreme conditions. E.g. Antarctica has wind power. So does Iceland, Norway, or Alaska. Ice proof wind turbines is a high tech business and a fairly recent development. So, wind is basically part of the solution here and not part of the problem.