Response DALI gateway


I have some DALI questions and are totally novis on that subject.

We have a DALI system from DigiDim with 2 dimmers and 2 relays (House light and stairs light) Today we run that of buttons spread around the theater. 

Now we want to add DMX/sACN control to that for control from lighting desks and our movie projector.

As I understand it it should be just to hook up the Response DALI gateway to the signal system and configure it in the gateway as I want. Then if I send a signal on DMX the gateway will send a command, and if I send a signal from my buttons they will send the command... Or am I missing something?