I Cymaphore has a good point here.
... accidentially pressing one of those many buttons or pressing the wrong one can be a real showstopper.
Rotary switches that can be single hand operated and that tell you about the selected range in a haptic way are superior in such an environment.
However, there are already protection mechanisms in place for accidentally activating or leaving a current measurement when you really want voltage for example (I have done this long a go, I wasn't paying attention, wasn't a pretty sight, lesson learn't there

).
There are many electronic devices that have moved away from mechanical designs or have been replaced by better designs altogether; cassettes, video players, spinny hardrives, radios etc off the top of my head. Even oscilloscopes. Gone is the CRT potentiometers, lever switches, now you have digital displays and rotary encoders. How many devices have a mechanical switch for powering on, a lot are simple push buttons now. I'm sure there are other examples.
By removing the dial, you can also make it a little more compact, that dial and the supporting PCB tracks, take up a lot of room. That space could be taken up by a bigger display perhaps, more functions.
I haven't got any objection to rotary dials, I do like the Brymen DMM's, I just think in this day and age they are not really needed anymore. It has been done already for some meters, I think they need to move forward and innovate a little more.