I think it would help. Often times all the items on the shelf look the same with the exception of price.
You add a warning label on one item and the item next to it is $2 more and doesn’t have the warning, I am likely to buy the more expensive item.
I would love this too. But still I would love something official that would designate which items are the over processed ones.
Though, the Supreme Court is about to make the FDA useless, so that won’t work soon.