The main limitation of a digital voltmeter is the resolution, analog voltmeters have a scale with divisions, and the user can read between these if the pointer does not fall on a specific division, digital voltmeters on the other hand are only able to display a finite number of values, although to be fair the resolution on lower ranges can be very small and is usually more than adequate. They also require batteries to work and from my experience, arent quite as well built as the good old AVO's
how is it possible to view a meter when to read it you must directly position your eyes dead center and interpolate the thickness of a pointer. Lets not mention loading of an analog meter on the circuit itself. There are some draw back to digital meter like monotonic of the LSB but on a 7 digit readout it is not demoralizing I can read 1 mv on digital meter on an analog meter is mission impossible old timer.