I don't own the ASD but maybe that helps as well: According to the dimensions Apple publishes on their website, there should be 22.1cm of room under the display when put to the highest position on the height-adjustable stand. I measure the 16" at around 21.5cm and the 14" at around 19.5cm of height with the display put to an angle I would work with. So in theory it should work.
For the non-height adjustable stand.. it's definitely too low. I bought a riser for it but currently I'm putting it on top of an Apple TV box. After that, the screen is higher than the 14" inch MBP. LOL.