There is thus no notion of the privacy of experience, the incorrigibility of the mental, etc., in Aristotles picture.

It is thus not a separable soul. (It is, at most, pure thought, devoid of personality, that is separable from the body on Aristotles account.)

There is, in this sense, only soul, and not souls. You and I have different souls because we are different people. But we are different human beings because we are different compounds of form and matter. That is, different bodies both animated by the same set of capacities, by the same (kind of) soul.