I would like the randomness to be more deterministic, even if that sounds weird at first.
My LaunchKey Mini Mk3 has a random feature for arpeggios that let you turn a knob to mess with the randomness, but it's more like altering the seed of a random number generator. Every sequence has the same randomness inserted into it. Turn the knob and you get something new, but it doesn't change on you.
It's really neat for "finding" ideas that you can then write into a sequencer.