I think they'd notice quite quickly if the whole of Google went offline for a week or so. Like literally, no search, no gmail, no maps, no anything. Now imagine if other large companies did the same, like Apple, Microsoft, Amazon, etc. Heck, want to make a real effect? Have a boycott which takes AWS offline for a few weeks, including everything hosted on it.
The consequences would become clear soon enough. Bonus points if the White House and Houses of Parliament sites were taken offline with it.