It rarely makes economic sense to deploy workloads onto the public cloud unless you have critical uptime requirements or need massive elasticity.
Most of the time countries do, because they are all swapping data on their citizens between themselves to skirt various laws.
In the case where the US really wants something, and the country won't yield, they'll fund contras or destabilize the government (if small enough to be bullied) or impose sanctions so drastic it's effectively a soft act of war.
This is all to say that, the US has nearly unlimited authority while it stands as the world's defacto superpower.
Pretty funny you're jumping straight to warfare. This proves why Americans cannot be trusted.
In any case, it's better for me that the Americans will need to start a war with the EU to get at my data instead of just giving it to them.
Any nation with any amount of leverage has abused it.