Everyone has some degree of consciousness within the Force after death. The special Jedi training just gives them the added ability to manifest in the physical world. But basically everyone still exists in the netherworld, except for people who were completely consumed by the Dark Side (not even necessarily Dark Side users, but also people who were just consumed by selfish, negative emotions, like Tarkin or Jabba).
I think this is actually Canon. In fact, George Lucas said multiple times that Padmé and Anakin met again after death, so Padmé is of course still part of the Force.