Putting her away for the winter

When I took my safety course and the instructor was putting the bikes away for nearly a week, he had us shut down like normal (which means shutting off the fuel too) and then he ran them until they quit. We are getting to put Chaos away for the winter, add sta-bil etc. So according to the significant other, we're topping off the gas, adding the sta-bil, running it for a few minutes and shutting her down for the season. After shutting off the fuel, should I run it again til it stops, or will it not matter?