Not that I would generally second guess Keysight support but I don't think that's 100% accurate TBH.
If you look at the two displays you can see that there are annunicators on each that aren't on the other (like "Rear", "Math" & Ratio on the 34401 display) and some of those that ARE on both are not always located in the same place, like "Error" for example.
So I would look into that a bit more before buying a 34401a display for a 34970a or the other way around.
