You would just be administering a cure, without having an actual diagnosis, which is by definition more wasteful.
Particularly when natural immunity comes for "free" and apparently works better, at that point insisting on vaccines for everybody is just completely nonsensical.
Rather shift resources to testing to get costs for that down, which is more work, but also doesn't come with the risk of later discovering "Oops, this vaccine that made people filthy rich turned out to have some nasty long-term side-effects!".
Which is also a very real possibility, considering they've been developed and approved in record time with the population at large acting as subjects for the first non-clinical trials.
A vaccine is an innoculation and prophylactic, not a cure.
The prophylactic costs less than the diagnostic. It has negligible risk of harm. It's a determinable and unambiguous event, unlike trying to verify a possible infection and sustained immune response.
The obvious rational policy decision for public health is to mandate the vaccine for everyone.
Those not previously infected gain immunity. Those previously infected ... either get a not-strictly-necessary injection, or far more likely, a useful booster.
And the administration, diagnostic, and monitoring costs are far lower.
Particularly when natural immunity comes for "free" and apparently works better, at that point insisting on vaccines for everybody is just completely nonsensical.
Rather shift resources to testing to get costs for that down, which is more work, but also doesn't come with the risk of later discovering "Oops, this vaccine that made people filthy rich turned out to have some nasty long-term side-effects!".
Which is also a very real possibility, considering they've been developed and approved in record time with the population at large acting as subjects for the first non-clinical trials.