Yes - you should always think about the risk of a false positive when considering a treatment (or, equivalently, the PPV). That risk hasn't vanished at the poin

Yes - you should always think about the risk of a false positive when considering a treatment (or, equivalently, the PPV). That risk hasn't vanished at the point of testing. If you know the risk of a false positive and the benefit and risk of treatment, then you have the option of reducing risk: choosing an option with increased risk is a mistake, but a mistake in judgement, not a mistake due to the test.