Maybe I'm missing something (I usually am, ask my wife). If so, please feel free to let us (me) know what insurmountable and egregious deficiencies the latest DSOs have. In my use cases I've not come across any, but that is just my use cases and I'm sure there are others.
I made a quick reply to your post earlier, as I was headed out the door and didn't have much time (father's day here in Australia). I have more time to reply now.
Firstly, it would be helpful to understand where the issue of deficiency stems from.
The display type used in a typical CRO is an XY vector type, with an essentially infinite intensity gradient and a high dynamic range, much higher than their raster CRT counterparts too. The intensity gradient on a CRO can range from almost imperceivable to maximum at the same time.
DSOs using LCD screens are limited in displaying signal intensity by the display technology itself as well as by the DSO hardware. A DSO employs a window like gradient for intensity, which can be shifted up and down but never able to display the entire gradient at the same time. Although some use alternate colours to widen the window of gradient. However, it is often a compromise.
CROs are outclassed by modern DSOs in every aspect, with the exception of displaying certain types of analog signals and in XY mode. This is primarily due to the type of display used in CROs and the limitations of the displays used in DSOs.
For a relatable example, an analog video signal (RGB+sync) can be viewed easily in intricate detail on a DSO, due to its more advanced triggering capabilities. However, if you were to observe a full video field and simultaneously compare them on both a DSO and a CRO, you will be able to immediately observe more of the signal on the CRO than on the DSO. The DSO would require adjusting the intensity in order to see the different parts of the signal, as it is unable to display the whole signal at the same time, due to the more limited intensity grading.
The XY mode comparison is likewise similar, with the LCD unable to match the intensity gradient of the XY vector screen in a CRO, at minimum. In the case for XY mode, I have worked out methods of compromise (guesstimate) and just use a DSO. If I need to pull out the CRO then it's always for working on older systems (TEM/SEM, spectrometer) that require going by the book.
Is the small advantage of a CRO important or even relevant?
Absolutely not... unless it is.