I personally do not believe this actually happened. Nobody will ever follow you out of an interview to beg you to take a job, or casually double a salary offer in a stairwell.
There is no "hard ball" negotiating like this where you walk out and somehow bring a company to its knees. It's just never that dramatic.
IF you receive a concrete job offer then you accept, decline, or counter. You should know the pay range by the time a company puts an actual offer on paper.