Sorry, read the title then saw it was about Rigol scopes vs some analog relic. I gave away my old Hitachi analog scope and my newer Lecroy but kept the first one I ever owned, the 7200. VME chassis, 68K based relic from the USAF's past. Not exactly what I would consider the high end of the curve. I would even go so far as to call it a very low end DSO by todays standards, or even my other DSOs.
I'll have to check the little micro use used. Rather than go that route, I just programmed my old Sony Arb with your pattern and roughly the same levels. From the 2nd picture, you will see this is a single shot. Third picture, turned on the auto measure and RIS with the 4GHz sampler.
Like I said, it's a relic but I still use it any time I think I may damage something. I can't think of a time I would have needed an analog scope or an analog handheld meter for that matter. I do still have my vacuum tube grid dip meter.
I hadn't spotted that you had changed the contents of your posting, adding significant content.
Bear in mind that my whole posting is not related to expensive professional scopes, but is related to the class of cheap scopes frequently and forcefully recommended in this forum - and to what extent they are suitable for bit-bashed digital signals.
What's the 7200's basic spec, particularly the front-end analogue bandwidth? Given that LeCroy is a long-standing decent professional brand, I would hope and expect that it would perform "without surprises". I don't see any surprises in the second screenshot.
I don't understand what the Arb Generator screenshot is showing, and can't see the waveform it is generating. Certainly 400kHz is much slower than the waveform I generated (bit period 4ns). The voltage levels ought to be irrelevant.
I don't understand what the last screenshot is showing, nor how it relates to the issue I've mentioned.
If you are interested in hard realtime multicore parallel systems, the XMOS processors and xC are definitely worth understanding. Their pedigree (people, theoretical basis, practical experience) dates back to the 70s in the form of CSP, Occam, Links/Channels and the Transputer. Some of the concepts have found a place in very different systems, e.g. some TI DSPs.
Right, I read what you wrote and understood. Just thought I would inject something in my holding place.

The Arb screenshot is some crappy app I put together to drive my old Sony. The waveform is shown in the bottom of the screen.
Now we come to the fundamental problem. I had assumed you knew how to read a scope. You are at 20ns/div. I also show 20ns/div. Count the number of cycles per division on my screen shot and what do you see? Maybe that I am actually running a little faster than you, not slower.

In your original post you state
The first point to note is that the 80:20 transition times of the output is 1ns (90:10 is 1.8ns).
The last screen shot shows a rise and fall time (10/90) of 1.3ns. Those digital readouts must have thrown you off.

Anyway, I wanted you to see that it was in the ballpark (slightly faster edge) than what you show.
The 7200 is a modular scope. The 7242B w/50 ohm coupling has an analog BW of 500 MHz. Looking at the edge rates, I was using the 7262 which has a 4GHz bandwidth, 10 bits vertical and 100GS/s (RIS).
As I mentioned, I gave away my one Lecroy that was much nicer than this one. There is no color LCD screen so not much value to the beginner. I bought the Hitachi brand new and rarely ever used it after I bought this old LeCroy. The only advantage the Hitachi had was weight and size.
**** Small update ****
Just in case there was some question about how the old relic would handle the 10ns pulses at 10KHz in single shot. I figure 12ns ish was close enough for you.
In case you missed it, I also attached a screen capture of what I did to simulate your pattern test.