Not empirical inquiry, but substantive inquiry: the empirical is acognitive, it is affective
What is experienced is done so affectively, not cognitively: if there is thinking, that is, interpretation, about what has happened to oneself it comes later, after one has lived the moment affectively.
It means that what is conventionally described as empirical inquiry is not of what is experienced (by whoever) but of the substance of certain entities. It warrants being denoted as substantive inquiry, not empirical inquiry.
In fact empirical inquiry is an examination of the affective effects of what is experienced – which isn’t what’s done by the practitioners of what they call empirical inquiry.