This fixes the official Multi-Account container extension's main weakness.

You can use this extension's "Isolation" setting so than when you click on a result in a search engine, for example, it automatically loads the new site in a temporary container instead of loading in the search engine's container.

Now Google can't follow you to the sites you open through its search results.

Edit: It seems the creator passed away in 2023. RIP, and thank you for the great extension.