I think it would be possible to reach this conclusion. Using shorter surveys, like Google opinion surveys or something, asking people if they recognize 2-3 logos at a time, run a few hundred of those surveys over a few years and you could categorize each logo based on % of participants who recognized, anything over like 66% could be considered “generally recognizable” and then count how many generally recognizable logos you had.
I don’t think it would have that effect at all… abolishing all nations and states would mean the massively wealthy corporations that are wealthier than most nations and states would become the de facto super powers of the world. Governments are the only thing keeping the likes of Meta, Google, Apple, nVidia, etc. From having private militaries and literally taking over the world. If you want to abolish all nations and states, you need to gut capitalism first and make sure these corporations can’t just become the new and far worse government.