It's not so much the buttons, it's the "feel" of an analogue scope vs. a digital one.
What I REALLY like about digital: the "Auto set" button. Just press one button and (if your signal is relatively constant) it will set-up everything so you will see the signal. No manual "searching" like you have to do on an analogue scope.
Also, directly seeing voltage values that the scope calculates for you is awesome, it saves you from having to do that brain work yourself all the time

Of course, with a (cheap) digital scope you will always have the feeling that it is "sampling". It's just not as "direct" as an analogue one.
There really isn't that much difference with dials and buttons between analogue and digital, the digital one still has the same dials, only some more buttons.
The advantages for the digital one really outweigh for me. It's small and light, love that. To be honest I haven't used it that much yet though....:S