Trace intensity gives good indication of frequent vs infrequent events.
This makes it infinitely more intuitive in my opinion - what you see on the screen is more like what's actually happening in the circuit. I'm currently playing around with a flyback converter in LTspice, and because every dot on the graph is shown with the same intensity, the output voltage with ripple appears to average at around 19V - until you zoom in and see that it's mostly a steady 22V with just some negative pulses lasting a few nanoseconds (diode recovery time). A more "analog-style" display would show a line around 22V with a "fog" underneath it, which conveys the waveform much better without requiring me to play around with the zoom.
(Now, why none of the affordable/free SPICE simulators have a plot feature like this I don't know. It would be really easy to implement in software - much easier than in, for instance, a digital oscilloscope.)
Delayed triggerable dual timebase can be more flexible that a simple digital zoom in some cases.
This feature was completely new to me when I got my 2445A, having come from a crappy little 20 MHz piece of garbage with nothing anybody would ever call a "feature". Fell in love with the scope immediately.
As a result, I typically use the analog scope more often than the digital scope.
Yeah. I'd say that the digital scope is "objectively" superior, in that it has many useful features that no analog scope has, but when I don't need those features I feel no compulsion to use it. I'd survive with just a digital scope, but I find the analog one much more comfortable to use and I rarely need to leave it for the digital one.