Is it possible that being a Platonist makes it easier to do mathematics?
There's no reason why not, and plenty of pointers in the opposite direction: religious people are often better able to survive misery; people with less imagination may be less distracted by fear ...
None of these amount to arguments for the substantive positions, but if the 'heuristic postulate' was true, how should we respond?
Personally, I'd rather do philosophy. Is it impossible to be a good philosopher of mathematics and also a good mathematician?
Scientists tend to be naïve sensory empiricists. Could they do such good science if they weren't?
What delusions must a philosopher entertain in order to be good at philosophy?
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