Regarding the excess mortality due to cold homes, according to the article you linked, 50% more people died in December 2020 than it was during December 2022 while 10 year average for England is 7409 so it was business as usual there.
In total there were 1,047 excess winter deaths caused by living in cold damp homes in England in December 2022, this is up from 768 in December 2021. In December 2020 there were 1,518.
What you wrote about is "the visiting card of the Kremlin propaganda." In their habits, take some (maybe not even fictional, deliberately false information), and present it as a kind of "horror horror." The calculation is extremely simple. Reckoning on a not very smart audience, on the favorite audience of the Russian media. Why ? Because they believe in everything, they do not verify the information. "If the TV / newspaper / state portal" said so, then it is so, even if it sounds like blatant idiocy. So in this case - they took statistics in which there is nothing anomalous, and issued it as "mass death in Europe, due to the refusal of Russian gas." All! Their audience is foaming at the mouth, running around and telling everyone that Europe will soon be gone, look - they are dying like flies, and soon there will be no one left in the EU at all, and all because they refused Russian gas! Therefore, I always recommend checking information, numbers - checking, comparing with historical indicators, etc.