That would only hurt Ukraine's allies. Russia is probably going to end up pivoting to exporting energy to China, anyway.
Russia's going to see this invasion through. It's clear that there's not some "one weird [economic] trick" that will get them to turn around and go home. The only way that's going to happen is if they're defeated militarily.
That doesn't appear to be correct. It apparently has a pipeline, also ships LNG, and is building an even bigger pipeline to come online in a couple years:
https://www.reuters.com/world/asia-pacific/exclusive-russia-...
> Feb 4 (Reuters) - Russia has agreed a 30-year contract to supply gas to China via a new pipeline and will settle the new gas sales in euros, bolstering an energy alliance with Beijing amid Moscow's strained ties with the West over Ukraine and other issues.
> Gazprom , which has a monopoly on Russian gas exports by pipeline, agreed to supply Chinese state energy major CNPC with 10 billion cubic metres of gas a year, the Russian firm and a Beijing-based industry official said.
> First flows through the pipeline, which will connect Russia's Far East region with northeast China, were due to start in two to three years, the source said in comments that were later followed by an announcement of the deal by Gazprom.
> Russia already sends gas to China via its Power of Siberia pipeline, which began pumping supplies in 2019, and by shipping liquefied natural gas (LNG). It exported 16.5 billion cubic metres (bcm) of gas to China in 2021.
The sanctions have conveniently carved out exceptions for settling energy, wheat, barley, and other commodity contracts, and it's these contract settlements that have prevented the Ruble's 50% collapse from becoming a 90% collapse.
Starving the West of energy and food would definitely be a fun bargaining chip and/or tit-for-tat escalation play, but I don't think the Russian economy has the stomach for it.
Russia sells gas in Europe for a profit. In China, not so much. Turning off the gas to Europe means turning off the majority of its income, it's not going to happen.
Would it?
Surely a few days of gas exports aren't that important to their economy, just because they can average the losses over many many more days of gas exports.
Now europe has a reason to let russia win, and repair the pipeline. A few days without heating would damage europe (though I'm unsure how many days worth of gas europe has stored).
I guess I could see it hurting Russia, because they lose a valuable resource and the threat to cut it off, but I could also see it helping them.