I think there is a good point about whether close contact tracing is worthwhile. I just posted basically this on another thread.
T&T is only really effective if the virus is at low levels in society such that people who have had close contact with a covid case are significantly more likely to have covid than people who haven't.
There was a study from Singapore published in the Lancet where of 7700 close contacts identified (using a similar classification to ours) 188 of those contacts tested positive, a rate of 2.4%. That included household contacts for whom the positivity rate was much higher. The positivity rate for non-household contacts was around 1.3%.
The last estimate I saw for prevalence in the UK was 1 in 65 which is 1.5%. It's probably higher now.
So at the moment you are probably no more likely to have covid if you have been identified as a close contact by T&T than if you haven't. Clearly, individual risk varies depending on where you live and what you have been doing.
Some other countries have given up on close contact tracing now.
On that basis I don't think testing so that we can isolate close contacts is really worthwhile at the moment. I do think it's useful to test to know how prevalent the virus is in different areas and to isolate positive cases, even if asymptomatic.
However, we don't always seem to be using the data intelligently e.g. we still don't seem to know exactly where the virus is spreading or who by. E.g. is surface transmission really an issue, is there actually lower spread in environments where you wear masks, are a small number of super-spreaders responsible for a majority of cases? etc.
And once we know that someone has had covid, we could use that information. E.g. it makes sense for healthcare workers who have had covid to treat vulnerable people if possible because they are likely to have at least some immunity.