Islandguy11 broke it down really well! I would really like to see what the outcome looks like, since i've never seen that type of setup. A new look is always enjoyable to see, plus it could influence others to consider the same change. To really see those beautiful stones absorb and reflect light, black sand would do it well. Just my opinion only!
Exactly what I was thinking, water issues aside I don't think those rocks will show up nicely with the current light colored substrate, with black they'd stand out nicely.
There's also the issue that Duanes pointed out -- unless you take them out to clean them regularly (thereby removing most if not all of the beneficial bacteria on them), they will get coated with slimy bacteria, algae, mulm etc.
Regarding amethyst like pictured, personally I wouldn't put
any sharp rocks in my Flowerhorn or Arowana tanks, not worth the possibility they'd get cut or scratched (which can lead to secondary infections if not cared for properly). But from what I understand discus are generally much more laid back fish, so once again, up to OP (who I assume knows discus behavior by now) to decide on that point.