I would say the operation went off as planned. The capacity to ship gas on Nord Stream 1 was cut, but luckily, the pipeline hadn't been in use for a month at the time. According to this site, https://berthub.eu/gazmon/ , In March 2020, 100-150 GW of Gas went from Russia to EU, right before the pipeline cut, that had gone down to 50GW, and after the cut it dropped to 30GW.

So the question is, what was the strategic effect for the US, Ukraine, and/or Russia to have done this?

My take, its almost as good for Russia to play victim than it is for the US to cut Russia's Gas. It would be interesting to see how dominant this story was in Russia, given the Ukrainian advances in late 2022.