Probably not.
Now imagine an OPS4/PS4S owner that (eventually?) understands what the sticker means but wasn't aware of that seeing all those badged games coming to the shelves of their shop of choice in a few months and staying there. Geez, I would really benefit from having that thing, wouldn't I.
U sir, understand marketing.
But the new badge may serve other purpose. Like all games will have a PS4 Pro mode, but that not meaning that all games will have graphic or performance enhancements if you playing on 1080p.
So the devs that will actually add extra viduals effects or performance to the PS4 Pro version, will get the badge, the others that are just a straight port from the base model, dont.
At least this is my understanding.