I think philosophy does belong to the list if you are arguing some matters of philosophy but not others. There is a common field to all mathematics-heavy disciplines, that is mathematics, with huge overlaps, and there’s no reason why for example a physicist couldn’t correctly critique bad mathematics of a philosopher, even though most non philosophers or amateur philosophers really should learn and not argue as a philosopher is a bit of an expert in mathematics.
I think philosophy does belong to the list if you are arguing some matters of philosophy but not others. There is a common field to all mathematics-heavy disciplines, that is mathematics, with huge overlaps, and there’s no reason why for example a physicist couldn’t correctly critique bad mathematics of a philosopher, even though most non philosophers or amateur philosophers really should learn and not argue as a philosopher is a bit of an expert in mathematics.