Well, then it looks like our definitions of a product differ. However, I believe this shows how the "you're the product" phrase diverts attention - now you're

Well, then it looks like our definitions of a product differ. However, I believe this shows how the "you're the product" phrase diverts attention - now you're talking about ads in general, but that's not what people rally against. The problem is about collecting and selling our personal data without our agreement and knowledge, not about showing you some random popup. The latter, as you mentioned, can be easily blocked and won't cost you more than a few seconds of your attention, but loss of control over your data may have far more serious effects (e.g. if that data ends up in insurance companies, who suddenly decide that your data profile matches some high risk group of people).