I've run them all, and honestly can't determine a difference.
In this case the disconnector "disables" the trigger/sear by pushing down on the trigger bar while the slide is opening/closing to keep you from firing the pistol until the slide is closed. There can be light, but negligible contact of the disconnector to the trigger bar while the slide is in battery, I always polish those contact areas to insure it's all smooth.
The only other thing I can think it affects might be the cartridge load, but I would think the recoil spring has more influence on that than the disconnector.