Re: Wedge
If the government gave two hoots about privacy that would work in reverse:
Your phone records timestamps of contacts anonymous IDs, and keeps this internal.
If you get sick your device's identifiers (possibly changing by the day) get published to the list of infected phones along with a date range for when you are expected to be/have been infectious.
Other peoples phones can then see for themselves IF they came near the published list and when that was.
No need for anyone else to have a dossier on your movements and everyone you saw.