How? The 3rd parties will still need to copy the data, even temporarily, to be able to do anything with it.

If I understand correctly, that's the point. Nobody should be able to read or copy your data without permission.

Again, the issue is that once you did share (= sent to) the data once with anyone, you don't have any technical control over what might happen to it (see the pirate bay as an example).

Quantum anti-tampering isn't going to help here, where it's your interlocutor that is the one that can't be trusted.

Depends on what the data is and if the aggregators can understand it.

You could have the model where the silo produces encrypted blobs and the end client can read it. (What's stored and connected is nothing but encrypted blobs)