I'm not sure that the Broker affects it much, other than how quickly they submit and how quickly they inform you. I have checked with my agent in the past, on one property, and been told, "Oh, it passed ROFR two days ago. We were going to let you know today." And I have had the situation on another property, where they heard, but they didn't plan to inform me for a week, since they were waiting for the Disney letter of Estopel before they told me.
I have used
DVC Resale Market in the past on a Bay Lake Tower contract and it seemed quite prompt to me. Actually, I think it was within 10 days after it was submitted, and they called me to let me know. So, I think I tend to go along with the idea that Disney does them in Batches. And each resort might have its own batch. So, if you squeeze into a batch just before they review that batch, there might be other contracts that have already been waiting in that batch for a week or two, but you will be informed at the same time as they will.