Might be too early to tell (I only watched 15 min of video) but I didn't any pauses during that time. I think turning off "Hey Siri" indeed a functioning workaround until we get beta 3.
I forgot to come back and reply to this. I turned it off and have been listening to overcast for an hour without any pauses. At the very least it has greatly reduced the incidence and looks like it may have prevented it.