given your "non-editing" answer to the interview question, i would most likely give an answer following this train of thought:

though being very "detail-oriented" can be considered a good thing as an editor, it is also a major weakness for one reason: it leads to perfectionism.

wanting everything to be perfect is great, as long as you're able to realize that _absolutely_ perfect might not always be possible when faced with a deadline. sometimes, it's more about completing a project on time [and to the best of your ability] than it is about wasting time and being late because you want things to be _just so_.
so, without making it sound like a total drawback, i would turn your "detail-oriented" response into a statement about perfectionism as a weakness. by phrasing it as a weakness that can still be utilized as a positive asset, you're admitting not only that you realize the fault, but that it's what drives you to do the best work you possibly can, while remaining cognizant of the fact that, realistically, you still have an obligation to adhere to your deadlines.

~e.

I have a friend who responded "Chocolate cake."

He, however, has the personality to have been able to get away with it.