Hopefully someone will notice and bring it up with the IT or ISP, especially if the message says to do so, and that Google/internet could stop working in the future.
Actually,get more popular sites to do it, like Facebook, Twitter, Apple and Microsoft (heck, they could do it as a part of the operating system): if a lot of websites say it, users will tend to think that something is wrong on their end.
This was surely already brought up as a solution, so I wonder what the catch was, if any?
Since this would be browser-independent, the browser wouldn't get blamed, and if it's only a mild inconvenience, it shouldn't bother people that much (they have been using the web despite more invasive cookie notices). I would expect it to allow a critical number of non conformant devices to be quickly disabled as a result.