Is it possible to assign a performer automatically to all the private messages or all the messages in a given forum/cathegory?
We are actually work in this direction. We have done some parts of this task already but still not ready to release it. Will do our best to finish it soon and you will be added for a beta-test.
But in your case you will receive notification even without assignment as we answered in your another question.
Also note, assignment helps in situation when company has more than one agent.