The EU in general does have a bit more of a track record of doing domestic spying, but that's balanced out by Germany being very conservative about putting it under legal framework due to remembering the Stasi. The EU and ECHR in general are postwar experiments in constraining the powers of the state for good.

In practice .. for a lot of people, including a lot of Americans, the Chinese surveillance threat is a lot less immediate and a lot less likely to result in negative consequences for them personally than the US one. (Important exception: overseas Chinese! The extraterritorial police stations are really quite alarming)

If the war with Denmark goes hot, then the US companies become an extreme national security threat very quickly.