If you have information you want to keep private or secure, it's your responsibility to ensure that it private or secure. This means understanding the agreements you make when you store said data in certain locations.
> I don't think, that many companies are aware of this.
No, many companies are in fact aware of this. This is the reason there providers that do provide increased security and oversight as far as data access goes. Apple, Google, and Microsoft just happen to provide free email services that aren't that secure if you violate their T&C.
> than cloud storage and any online service of vital documents is just impossible in the US.
Yeah, if you think using a cloud service outside the US immediately makes you immune to these problems, you are the one who isn't aware of the situation.