Not entirely true. Since LCD monitors are relatively low in weight, one could make it so that the monitor rose up a few inches when you rotated the CP.
There could be a wave-like path on the outside edges of the CP, that 2 roller bearings sat on... and as you rotated the CP, the height of the path would change... thus the monitor height would change to match it. The monitor holder could be on slide rails for easier sliding... or merely use some plastic runners for less friction.
Instead of bearing auto-adjust, you could just manually lift it with a side lever, pull handle, rope system, motor lift, or other similar option.
Other options, if you do not care about monitor -vs- CP heights, are to use a slotted material, like a strip-cut bottom-weighted curtain, which would adjust to high controllers sliding past it.
Still, the cab will have to be slightly deeper to accommodate the extra diameter of the taller controllers.