If you don't want to deal with an error then you unwrap it, which will terminate your program just as well as an unhandled exception would. The salient difference is that you can't accidentally unwrap something, whereas you can accidentally forget to handle an exception.
The set of exceptions that can be handled is vanishingly small. With exceptions you should be catching exceptions very infrequently and in key places. Talking about accidentally forgetting to handle an exception at a method-call site completely missed the point. That's not how one should code or think about coding when using exceptions.