Well that someone worked at the Apple store lol. The data on the website also lists pretty specific parts for each model and all neglected to include the band. Take it with what you will
Not saying AppleCare specifically. I am sure if something happens to my band within the 12 months of the standard warranty, Apple will make it right.
That probably also applies to a band bought separately... Not sure what their warranty period is on accessories.
Still think having AppleCare, they will take care of your band outside the 12 months. My past experiences have been such that they are more flexible and open when you have AppleCare.