I was hoping that a lot of the roughness, awkward silences, jarring starts and lack of basic knowledge of the series were just growing pains of fans learning how to do the whole podcast thing. After listening to multiple episodes from the beginning to more recently, I wonder if the people doing this even like the series. Like someone else said, there's quite a bit of confusion about basic plot points. Things I remember clearly despite my most recent re-read of these books happening over a year ago.
Picking things apart and diving into the details is part of being a fan. These people are so critical of the tiniest thing it makes me wonder if they are even fans of the series. The stuff they say sounds like they hate the books, and the random minutiae they dive into isn't related to the books and its making me dislike the books too.
I'd be willing to forgive how they just dive right into each podcast without any intro, the silences, etc if what they talked about was actually interesting. I thought maybe they were onto something with what they were saying about Peace Talks. Now that I've gotten through several episodes about the character and early books through Blood Rites, it seems they just hate the series and have no idea what they're talking about.
The one positive is that I now have a better understanding of why the Dresden Files subreddit is such a negative, unpleasant place to be. The same people run it.