I'm really trying to understand why you think this is all fake. We can and do measure ads pretty accurately. Attribution is far from perfect but aggregated against a large audience who's exposed to ads vs a control group, and with tracking all the way down to conversions, we can see there is a difference.
My company works with Nielsen to certify and double-check our results as well as numerous other partners that only do attribution which is why our clients trust us.
It's not impossible. It's done everyday and it's backed by science, technology, data and results.
I think that modern advertising is based on faulty, outdated psychological theory and that all the statistics you can come up with to demonstrate otherwise are tainted because the studies are all funded by ad company dollars.
But it does, lots of smart people spend lots of money on it and recoup their investment. People spend a lot of time and money figuring out exactly how impressions drive sales. Do you think no one measures ROI on ads?