One does not avoid incompetence if one makes an attempt whose likelihood of success is too low. This seems little more than analytic: when the performance is in a domain that imposes standards of risk, attempts may or may not meet such standards. And the relevant competence of agents then includes reliably enough meeting those standards.

You attain aptness by judging while in good shape and in a good situation (good light, good distance, etc.), through the exercise of good barn-sorting epistemic competence.

Since human good is what humans ought to pursue, the pursuit of interest to Aristotle is then such activity of soul, that which constitutes human good, namely activity that attains desiderata, where the attainment is in accord with virtue.

The data on which philosophical theorizing is based are rather the intuited contents themselves, concerning the various thought experiments. At least that is so outside the epistemology of the a priori.

In my view there is a level of human knowledge that involves just getting it right aptly. This "animal" epistemic level is an inferior level in just the way of Diana's long shot in the dark while drunk. That shot is inferior in a certain respect if too poorly selected as a hunter's archery shot, even if not quite as poorly selected as would be a shot aimed at the moon. Even if Diana's too risky shot turns out to be apt by attaining success through sublime archery dexterity, it is still inferior in the particular respect of being so risky and hence so poorly selected.

Given its more substantial aim, a judgment is apt only if its constitutive alethic affirmation is not only apt but aptly apt. The subject must attain aptly not only the truth of his affirmation but also its aptness. And that in turn requires not only the proper operation of one's perception, memory, inference, etc., but also that one deploy such competences through competent epistemic risk assessment.

Philosophers do need to have intuitions of various specific sorts: ethical, metaphysical, etc., depending on their targeted subject matter. And they must make intuition reports, as they record the contents of their intuitions. But they need not go into whether an intuition has been enjoyed.