Doesn’t seem like that condition leads to termination. As things return to normal, fewer surveillance tests will be conducted by definition, so the test positivity rate will rise.
Not to mention the perverse incentive: if you feel sick, you want to avoid getting tested and counted as a positive if you don't want your locality or employer to shut down. There is a theory that this accounts for much of Japan's perceived success - antibody studies show just as much prevalence as everywhere else, what happened was that all the mild cases never got tested.
There are also non-perverse incentives. If I feel sick and live alone, a test test result doesn't give me much actionable information, takes time, and puts the people giving the tests at slightly more risk.