Yes, I agree that that stepped response in the noise floor is normal.
Also have a look on a 5MHz and 10MHz span to see how much wobble there is on a signal fed into it at the centre frequency (eg 70MHz CF and 5MHz span)
Some units can be very wobbly when tested like this although a small amout of wobble is normal I think. The wobble should stop on spans less than 5MHz.
My only other comment about the display is that the CRT needs adjusting. The graticule is blooming (fuzzy) compared to the signal trace. Mine was like this (horrible) and I replaced a resistor in the Z board and also readjusted it for a nicer display.
I've linked to a hi res image of it below. This shows how nice the display can be if it is adjusted properly. I did this about 10 or 11 years ago so I can't remember what I replaced on the Z board but the CRT changed from a gloomy fuzzy mess to what you see below. It actually looks nicer than this when viewed with the naked eye as the camera makes it look a bit flat and dull.