That's true, and I accept that - though my claim was more intended to attack the notion that a certain analysis is useless just because the thing being analyzed

That's true, and I accept that - though my claim was more intended to attack the notion that a certain analysis is useless just because the thing being analyzed would exist otherwise - whether that existence is due to initial theorists (i.e primes are a creation of the mind) or whether it's due to their non-physical existence as Platonic forms was a little beside the point of what I was trying to say. I meant it more in the way that we could say science would still exist even if Popper hadn't theorized falsificationism.