No, I don't.
A digital display is a display of digits.
Alternatively, if you see numbers it is a digital display, if you see a wavy line it is an analogue display!
How the information "gets to" the display is an orthogonal issue.
Whether or not the display is composed of discrete pixels is also an orthogonal issue.
I think that's where the confusion arose as you seem to be talking about the UI rather than the physical display itself. A character display or what you call a digital display is very uncommon if not nonexistent in oscilloscopes so people obviously didn't make the connection. A wavy line on a pixel or non CRT screen obviously has nothing to do with analogue signals. It's graphical style is derived from earlier analogue technology but has separated from it in pretty much every sense.
In fact, the wavy line has
everything to do with analogue signals, as that's what Oscilloscopes are for whether they are analogue, digital, or trained Quokkas with marking pens.
(Although Quokka technology showed much early promise, it was limited in frequency response, the pens needed changing, & the Quokka poo removed, so it fell by the wayside)
The numerical display versus continuous display thing is another argument, altogether.
Are hour meters driven by analog electric motors digital?
How about the old "General Radio" audio oscillators I used years ago which had a mechanical dial which displayed frequencies as a line of numbers behind illuminated windows?
Numerical displays were all the go, back in the 1980s, with most watches having such displays.
People liked the old clock hands, & most modern watches, nor matter how "digital" the guts are, have either
mechanical hands, or (very good) rendered displays of such things.
Car speedometers also flirted with numerical displays in the 1980s, only to go the same way as watches did.
A very interesting case is the "S"meter/power meter on Amateur Radio transceivers.
These were originally moving coil meters, but were, for a time, replaced with "bar graphs" either of a group of LEDs, or LCD displays like the bargraph on a DMM.
Hams didn't much like them, so some manufacturers went back to moving coil meters.
Ultimately, they went to exquisitely rendered representations of the original "analog" electromechanical meters.
It is quite hard to distinguish them from the real thing!
Another example of such a "rendered" display is the clock on my iPad.
It is a perfect representation of a mechanical clock, right down to the shadows under the hands.
One thing that annoys me about DSOs, is the seeming lack of standardisation of the information blocks around the active screen.
A person with a problem presents a screenshot of their 'scope, asking for help.
Firstly, I have to try to work out what the volts/div & time/div are.
This is probably OK, if you have that particular piece of equipment, but if you don't, it is:
"Is that value the usecs/div, or the length of the total display, or is it the duration of a cycle of the signal?
Or something else again?"
After seeing enough DS1054 screenshots, I can "sort of" work it out, but hit me with a Hantek, & I'm "all at sea"!
So it would be nice if people posting screenshots would add the basic information separate from the screenshot for us dinosaurs who still "count squares".