Note to the reader: the article talks about modeling the Common Lisp condition system which is more general than an exception system.

In an exception system, when you signal a condition (“throw”) the stack is unwound until the exception is caught or the stack exhausted.

In a general condition system the stack is searched for a handler; that handler is free to return (at which point the stack is unwound, and then the handler exits, same as catching an exception) or continue (e.g. free some disk space and then have the write operation retry, or return infinity from a divide by zero error).