Mesurung highly inductive DUTs is always a problem in the ohms mode. Ideally a meter that already has a capacitance mode should be able to tell if the DUT is a resistor, capacitor or inductor. So from the HW side it should be possible to also measure at least higher value inductance, even if with a rather large uncertainty. If needed the resitance mode could adjust in a way that it can tolerate inductance better - even though this would likely mean a slower reading. It is much better to get an approximate inductance and warning about increased uncertainty / lower speed than just a resistance reading with incresed error, but no warning.
The problem with high inductance would effect other meters too - at least in the mode with offset compensation, that switches the test current.