A-G, you point to the critical difference between knowing and knowing about. The first is primary, the second derivative from a process of investigation. We might say (in the language of Pascal) that the former is "finesse thinking" (intuitive); the latter "geometrical thinking." We routinely do both; but lately there is a tendency to say that only the geometrical is legitimate. Thus discounting all primary experience, which is essentially intuitive.
Scientism really has gotten matters pretty warped. JMHO FWIW.