> Nobody's saying "tamper with the evidence to demonstrate favourable outcomes" here.
Yeah, so you have badly misread my point, and you're arguing against something completely unrelated to what I'm saying.
Of course you can add randomness to the results to hide individuals without messing with the results in aggregate. That's obvious, and I'm not disputing it. The issue is that that's a PR nightmare. Nobody here might be saying "tamper with it to change the outcome", but I guarantee you that people out wider media will accuse the CDC and Pfizer of doing exactly that. I can see the chyron now, "CDC ADMITS TO MANIPULATING DATA".
Organizations like the CDC need to think not just about how their message will be heard, but how it might be twisted and abused by bad faith actors. You are absolutely right about how you can safely introduce randomness, but you are completely wrong about how that will be handled by the public after bad faith actors get their hands on that fact.