Errors are a part of the API. I'm not sure why we keep thinking we need to treat them differently. We don't complain when we have make decisions based on or transform data that is passed to us from a function or method. We just handle the data. Errors are just more data.

The correct thing here is to correctly model your Error domain and map errors you don't control to Errors that you do. In the Java Checked Exception case the Throws clause only grows because everyone is trying to ignore the errors and make somebody else handle it. I would argue that in Rust the explosion of different generic error handling mechanisms is also laziness and a desire to not handle the other half of the API's you are handling.