I am very sceptical about the Richmond claims.
Firstly, I couldn’t find anything about this on Richmond Council website. Or any other information apart from the Standard where this is from.
The article says the postcodes relate to Leeds, Manchester, Durham and Exeter. Having studied these university webpages, the first three are advising their students to book a test through the normal NHS website or app of they have symptoms.
If you are booking through NHS, you enter a postcode to find local test centres or to get a postal test. It would be very odd if Manchester students from Richmond were entering a postcode in Richmond as they would be then told about test centres around Richmond and wouldn’t be able to get there and get tested (in rare cases I suppose they might travel).
The only non NHS testing in those unis was Exeter. They have a private service set up using Halo (incidentally, this is a saliva test). As I am not a student, I can’t look up what data you have to enter to get tested.
Other universities who are doing their own testing seem to be asking for student addresses to send testing kits out to (ie Southampton), so these would also not be parental home addresses.
Finally, if you did book a test using the “wrong” address, there is no way to know that this has happened when looking at the data. There isn’t any cross checking to see that John Smith was born on 01/01/1990 lives at AB1 1AB. His test would have to be allocated to the postcode he entered and no one would ever know if he did or didn’t actually live there.
Therefore as far as I can tell, this seems to be a made up story based on nothing.