To answer your question in the easiest way is that yes you can tell a difference between the two. In fact, on the Airtronics SD-10G radio if you are using the recievers that have 2048 resolution on them you have to use digital servos because older analog servos simply cannot keep up with the receiver, and you can actually see the servos "stutter" a bit depending on the movements that you are giving them.
Actually the resolution has nothing to do with the problems described when using analog servos. It is only a description of the size of step that the transmitter makes as it creates the pulse width that goes to each servo. The SD-10G pulses vary from 0.9 to 2.1 mS (there are 1000 mS to each second) which is pretty much in the range that all servos have used since Doug Spreng came up with the concept in the early '60's. Analog or digital, it doesn't matter to the servo how finely the width of the pulse is divided.
What is going on is the frame rate of some of the faster 2.4 radios is much faster than the frame rate that was used by traditional radios. Earlier radios would send new information to a servo about 40 times a second. This works out to be around 25 mS, so most analog servos are set up with a circuit that is timed to work with that repetition rate of pulses to the servo. If the pulse width information starts coming to the more frequently, then the pulse stretching circuit never completely discharges and you get the buzzing, humming, jumping problem. It was this pulse stretching circuit that allowed the servo to have any torque at all, and is the part of the servo that changed the most when going to a digital servo.
Some of the extremely fast systems now can update the information at 11 mS at the full 2048 resolution (this is only possible with the wide bandwidth available at 2.4G), but also offer the option of slowing the frame rate down to a slower speed so as to work with analog servos. I don't know if all manufacturers have this feature now, but it works quite well if your fleet of models have both types of servos.