But your definition of processed foods has now shifted to being one of hyperpalitability and likelihood of overeating.

Those are two completely different categories. The first is, ostensibly, about the processing done to the ingredients to make the final product. The second is about the outcome that the product has on those consuming it.

If you remove the overconsumption angle, what is left of processed foods? And if processed is used as a proxy for overconsumption, why have this proxy at all, just talk about overconsumption (and the negative impacts of that) directly.