Surely the Kremlin would be familiar with rule #1?
Namely: Might makes right.
The Russian state is to take action against gigantic advertising company Google for abuse of its dominant position across internet services, according to reports. The Wall Street Journal cited sources in the Russian Federal Antimonopoly Service as saying that the agency's probe into a complaint from rival Yandex had found …
I am not at all opposed to a little introspection by Google, but I am not sure Putin sees them as a crazed tyrant. I think he just sees them as a potential source of protection moneyfines.
"That's a nice data centre you have there. It would be a shame if something happened to it"
Google may only have a third of the search business there, but they still have some real advantages. They're also serious about their expansion and were the first to put servers in Russia in response to the new data sovereignty laws. I can see how Yandex feels threatened despite currently being in the lead. Regardless, current western sanctions may well be a disadvantage to Google right now.