> Diagnosing errors given stack traces is very easy.

This is the most important aspect of exceptions in my view.

The line that threw the exception isn't even the part of a stack trace that I find most interesting. The part that is most valuable to me when working on complex production systems are all of the call sites leading up to that point.

I remember in my junior years I wasn't a big fan of exceptions. A stack trace would make my eyes glaze over. I would try/catch at really deep levels of abstraction and try to suppress errors too early. It took me a solid ~5 years before I was like "yes, exceptions are good and here's why". I think a lot of this boils down to experience and suffering the consequences of bad design enough times.