It depends - not all prostate cancers show up on scans anyway and different PSMA tracers are better in certain circumstances and with different PSA levels. Of the two most common tracers used here, one is better at picking up recurrence clusters at low PSA levels while the other is better at picking up clusters at the diagnostic stage. There are other PET scan tracers as well, not just PSMA - so one of the PSMA tracers may be the most advanced in the UK in your situation but in my husband's case we would probably go for something like FACB / axumin instead.
No matter how good the tracer is, it is unlikely to pick up micro-mets.