Only if the systems operate in within their jurisdiction. Systems residing outside of their jurisdiction are not susceptible to the same policies and requests. Most cloud providers in international spaces provide secure government solutions that are designed around the regional policies.
That seems naive or not responsive to the comment. If the US government tells Google to shut down all international sites/servers, or it will cease to exist in the US, I don’t think “but the servers aren’t in the US” will really matter.
I also don’t think anyone can count on extra-judicial demands from the current executive branch.
Then the government of said country will just force the local company to separate from its us parent company. Don’t forget these regions/servers are usually owned by local subsidiaries.