Grahams point s straightforward if expressed as 'pure maths is the study of terms with precise meannigs'.

Which begs the question of whether it really matters if the conceptualisation is wrong, as long as the numbers are right?  Isn’t instrumental correctness all that really matters?

I'm not in the business of telling people what values to have, but if you are a physcalist, you are comited to more than instrumental.

The fact that predictiveness has almost nothing to do with accuracy, in the sense of correspondence is one of the outstanding problems with physicalism