Autofill seems to waste a lot of time for an incidental reason.
I get people who were auto filled and don't want the role they got so they dodge. Then maybe someone who was in my lobby who had mid, rejoins and now they are support so they dodge. I am not saying this happens every time nor am I saying I have proof that this is the causation for every dodge. Dodges just seem to be up and sometimes it can take several more minutes for another queue to be found. I'd rather get the role I want than queuing up multiple times.
Edit: Also with the same people getting queued up again-but on different teams- the champs they wanted to play get banned by the opposing team which leads to more dodges.
Second game since posting, and I have been in queue for 7 minutes (queued as support and fill mine you) with four dodges with people asking to trade positions due to auto fill. How does a game this popular suffer from something like this. I could only imagine what high elo players go through.