I’m not OP, but I read the article. It states

We focus on sanctions imposed by three countries or organisations that can be expected to have substantial effects: the USA, the EU, and the UN. […] We found the strongest effects for unilateral, economic, and US sanctions, whereas we found no statistical evidence of an effect for UN sanctions.

If sanctions by the UN had no effect, the sanctions they studied that caused the deaths were imposed by the US and the EU. While calling the combined US+EU “the West” may not be entirely accurate (it leaves out Canada, Australia, New Zealand and other “Western” nations), I don’t think their wording is overly misleading either.