What kind of advertising? Can you post a screenshot?
There shouldn't be any advertising if you download from the adobe.com website.
I could not post a screenshot; however, this video ad opened immediately when I downloaded Flash Player from Adobe.com. Everytime I open Flash Player, a difference ad begins and the only way I can stop it, is to uninstall Flash Player which I need. I have Windows Internet explorer9. I have heard of Adware.DealPly which is an adware program that installs an add-on for Web browser and displays ads in the browser. Could it be my Comast browser? I'm stumped.
That is definitely not something that is downloaded with Flash Player.
Also, the link you posted is not a video; just a static website.