They haven't had any in almost three years. The reason the autos lost their self-bink was because self-bink was terribly broken back then. As for why they haven't regained self-bink now that the inaccuracy system is improved is because the way self-bink was intended to work - which was to force auto users to fire in short bursts - doesn't really fit into Soldat's intended arcade-y 80s action movie feel.
I mean, could you imagine Arnold or Stallone going "Guah, I should fire in moderation so as to improve accuracy and conserve ammo" in Predator or Rambo 2?
Maybe self-bink could be applied to one weapon for the sake of variety though, e.g. Minimi or Minigun.