A 4th and 5th reply from them, we finally hit the escalation team. Unfortunately, it's the same "here's our privacy doc", and continues to show incompetence by not understanding the implications of forcing customers to compromise their safety.
To reiterate, Amazon is an essential service in the UK following Covid, and is large enough that they should be held to the same (or higher) standards that we hold our governments to when it comes to basic human rights. Which, admittedly, is not that high.