Goto is heavily used to return early, by jumping to the cleanup section at the bottom of the function. Otherwise, you have to repeat the cleanup code at each exit point, or use the dreaded pyramid of doom where each failure point introduces another indent level, which is what the author here is trying to avoid in the first place.
Not a C-programmer at all but I would separate out the resource creation/access from acting on the resource. So Open X, Do Y on X, Close X would have do Y on X in a separate function and possibly Open X and Close X as well. This way Close X would be executed regardless of the result of Do Y on X.
Only by doing multiple things in one function you really need to use goto's in C. (again, as far I can judge coding in C, not an expert!)
"cleanup section at the bottom of the function" is pretty rare in JavaScript, which is what the original blog post is discussing. Same with Java, C#, Ruby etc.
No, it doesn't play well with early return, so avoid mixing them.