Husserl's own pure/empirical-Ego distinction concedes that the transcendental Ego splits into objectified and not-objectified.
Paper reconstruction — Feyaerts & Vanheule (2015), How to return to subjectivity?
But Natorp's objection is methodological, not merely anti-naturalist, and reflective intuition survives the reduction intact.
(Zahavi) To deny that transcendental subjectivity manifests is to deny transcendental phenomenology altogether — so the subject-pole must be able to appear.
Husserl agrees with Natorp's critique of psychology: it is "psychology which seeks to convince itself that it is not psychology."
Husserl himself must split the Ego into objectified / not-objectified.
How to return to subjectivity? Natorp, Husserl, and Lacan on the limits of reflection — Natorp and Husserl Reconsidered: The Split Within Reflection
psychology which seeks to convince itself that it is not psychology.