I do understand the reason that article was written but not everything you read should be taken litterally.
Usually a girl would lock eyes, and then immediately look away with a little smile on her face. If you look away before this, you'll look like a nervous wreck that was caught staring.
However, if the girl does not look away immediately, I would never get into the contest of seeing who will look away first. I either approach or smile at her and focus elsewhere (my friends, my book, whatever).