Powerless? No. Just don’t buy it. It really is that simple. You don’t have to change everyone’s mind. Just stand up for yourself.
Even if she doesn't leave you over this, unless you somehow married a Hackernews you've set up the image in her head that you're a skinflint who isn't willing to provide for your wife and it will affect your relationship in negative ways. Is your autism that strong that you will put a pedantic commitment to your own head logic and fighting the evil forces of marketing above your wife's feelings? If so, maybe you don't deserve to be married.