[Rocket Man]

One key fact that probably stands in the way of that: a demon can't force a Fate onto someone -- if the act is of the demon's Will instead of the mortal's, it doesn't count in terms of Fate/Destiny, and can end up hurting Hell's war effort. That means Shedim have to use a lot of subtlety, which can run counter to its Band's need to "Corrupt them NOW!"

(That said, a subtle Shedite can be one of the most dangerous opponents in the game. I had one orchestrate the near-destruction of a Protection Tether before the PCs finally tracked it down and cornered it.)