What humanizing actually means
A generated draft is assembled from an average of everything the model has read. That averaging is why it sounds plausible and why it says so little. Every sentence is the most expected sentence given the one before it.
Humanizing, properly done, replaces expectation with particularity. A named tool, a real number, a constraint that came from experience, an opinion that could be wrong. The prose stops sounding machine-made because it starts containing things a machine could not have known.
That is why the process is editorial rather than mechanical. No rewrite tool can add the fact you left out, and no synonym swap can remove the absence of a point.