No, it isn't clear at all which island the article is referring. For one thing, the article says "Wrangell," not "Wrangel."
For another, the article claims that American citizens are living on Wrangell...something that the Russian speaking Siberians on "Wrangel" island might find as a shock.
For a third, "Wrangel" is only a guano island, protected by the Guano Treaty only as long as bat guano is being actively mined there by U.S. citizens.
You think there are bats living on permanently frozen islands in the Arctic Sea?