Palantir provides the software but installs in your cloud or hardware. They rarely exfiltrate the data. So you don’t give Palantir anything (usually).

Edit: I can understand not wanting to use a non-UK company for NHS health. But Palantir isn’t the all seeing bogeyman it’s made out to be. It’s just knowledge graph and AI models which run in your cloud or hardware.

Your caveats of "rarely" and "usually" undermine the "anything" you use.

The edit is naive to an extent that makes one wander if you are writing in good faith.