That doesn’t have to be the case. I have gas heat [0], that works fine when our power is out.
(Not intending to detract from the rest of your point)
[0] a basic Williams wall furnace on a 50 year old thermostat.
* pilot is manual piezoelectric; doesn’t require electric power
These heaters are super common in California, and some larger homes have multiple of them. I assume they’re not as efficient as more modern solutions, but they are certainly reliable and low-maintenance.
Dearborn gas heater example just like the one I had:
https://external-content.duckduckgo.com/iu/?u=https%3A%2F%2F...
In The Heights many original homes have a smaller version(s) built into the wall, sometimes a tiny one right there above the bathtub.
After converting to showers sometimes it's right in your face while standing.
Without a full set of built-ins, there were natural gas petcocks in each major room for portables or relocatables like Dearborns.
1) Natural gas has been a problem because the moisture in it has been freezing pipes
2) The cold has caused the pressure in propane tanks to drop, impairing their functionality.
None of this might have been a huge problem if Texas didn't keep its power grid almost completely separate from the rest of the country. That has meant they can't easily bring in capacity to cover their own lack. Though even moderate winterization would probably have significantly reduced the problems. It's not like they have to prepare for continuous -10 F.
Don't they have any kind of smart meter in Texas? Maybe reprogramming them is a slow operation that cannot be done to almost every meter in a short timespan?
The only real power consumption anyone does above usual is plug in their phones. And obviously their heaters run full blast.
If they gave everyone power 50% of the time, everyone would crank everything they have to the max during those periods to get some heat into their buildings. Unless their total ability to consume energy is less than 2x their average consumption, it's not going to help.
To have any effect on overall power consumption, they first have to overcome this effect, and reduce power availability so people can't just shift the load.
Depending on creativity (if you have an electric tumble dryer... that's a fan heater), I bet many people could easily 10x their average power consumption.
If I had power for a short period of time and cold was an issue, I'd be dumping ~10 kW into water immediately (the only energy storage I can improvise on short notice).