I actually think Joshua would agree that is a reasonable limitation - once one realises science is not “The Truth” but a specific way of answering a specific set of questions nature raises, most of the problems go away.
As for psychiatry and economics, what are they but ways of organising soft subjects into some kind of regularity. Bob thinks he’s the Emperor of China, and Sheila hears voices - psychiatry is able to discern the patterns that make “paranoid schizophrenia” a useful label for helping them.