If I understand you, you are already competing with a well matched amateur partner, and you both take pro-am lessons with your coaches. In that case, pro-am competition is unlikely to help your dancing. You've already got amateur competitions for feedback, and you do your learning in lessons.
I have several couples who dance as am-am together and the boys dance also pro-am with me. They all love it because while competing with me they get to feel something different on the competition floor. There are things that his am partner cannot do for him, and no amount of studio-lesson time with me can prepare someone for all of the traps and pitfalls of a real competition floor. Dancing with me he can see how quickly it is possible to change and make decisions. My mind is working over time while I compete and I highly encourage all of the boys, as soon as we get off the floor, to consider what just happened, and how they can then replicate that for themselves. And it just is never going to happen with that amount of intensity or necessity in the studio.