The main benefit of types for me is not correctness but documentation and tooling. It's fine not to have types in code I write myself or with one or two others. But if I have to deal with a large codebase that I wasn't involved in writing then types make it so much quicker to understand. Just being able to quickly find all references to a type or all a method's call sites makes it possible to "reverse engineer" the design from the code.
This tool claims it can do advanced inference. If it were possible to hook it up to an editor or IDE to analyse existing untyped js in this way it could be invaluable.