An analog meter would most likely be better for testing the resistance of contactor and relay contacts, because its short circuit current flow is substantially higher than a DMM. As an example, my Agilent U1272A puts out about 640 microamps, as measured by my Fluke 189. According to the data sheet, a Simpson 260 puts out 125 milliamps on the RX1 scale. There are some situations, such as relay contacts, where you actually want to 'stress' the connection. A DMM, with its miniscule current flow, may be harder pressed to give a true and definitive reading in such situations.
Regards,
Jason