We do have an example of a climate lockdown: the capital city of India in late 2021. The city's excuse was high levels of pollution, which is normal for that city. IIRC, it lasted for a week and involved shutting down most businesses.

Back to the article, I would caution against calling limitations on heating a lockdown. Yes, it is egregious and will result in people dying. But people are not being prohibited from leaving their homes, yet.

I think actual lockdowns are coming soon, since businesses consume a lot of electricity. Further, calling those upcoming lockdowns "climate lockdowns" won't be remotely accurate. A better name would be "energy lockdowns", since that's going to be the government's actual excuse: "there's insufficient energy for the economy to keep functioning, so we're turning the economy off for just a bit".

I tried to warn people in late 2020 that the lack of revolutions in response to the COVID lockdowns would doom us to lockdowns forever. Now that the economy is tremendously worse than in 2020 (and getting worse fast), revolutions will soon be a luxury that nobody will be able to afford. For people will be too hungry to do anything other than stand in bread lines all day.