Ok thanks. So basically: even though they're non-interacting, they're still indistinguishable and they obey the Pauli exclusion principle. Correct?No, the indistinguishability of the electrons is also present in the absence of interactions. Any wavefunction of the electrons is anti-symmetrized. So although the electrons do not interact, they still feel some form of repelment as they cannot occupy the same state.
It's ofcourse a mathematical statement, since non-interacting particles can hardly be considered physical.