Regarding accuracy specifications there is no chance to be different when the range switch is in the same position.
From the other hand every comparison it is valid only when you have a voltage source that is designed for this purpose.
Impedance of a circuit and bourbon voltage of the DMM they do influence the measurement.
In general all end users testing their meters in any application that they work with, but in sensitive measurements in the range of few mV such measurements
should and must be conducted only by an Oscilloscope.
Or by a multimeter that comes with
very low mV range, such meters are the
Agilent U1272A with 30mV range and also the
DE208A which has 60mV range.
In conclusion it is in your best interest to stick to ITTSB as source of information, because the owner of it, other than be experienced in the field he has watch many seminars regarding quality of measurements too.