sigh So the OIS actually does work as well as claimed, which boggles the mind why they felt they had to fake it in the ad.
Many countries, the US included, have decided that if you cannot fake product demos in advertising unless it is clear that's what's going on. Hence the "Sequences Shortened" text on the iPhone ads.
It is rather unethical to produce a marketing video that fakes functionality and doesn't make it clear that's what's going on. You may well not be over-exaggerating anything, but personally I don't think that's relevant.
It was a promo video used when revealing a product (not an ad broadcast on TV) that was trying to prove a point that OIS is important and can make pictures and videos look beautiful. The verge and all other sites that did the detective work was purely for the sake of page views. No substance there...