Interesting episode. I've never really had games with two different parties played by the same people, but I have done ones where some people have a second character of the "background support" variety. I'll need to try it sometime. Question: If the "strategic" turns were a month long, how did you deal with things like short-term consequences the "tactical" party would face (injuries, poverty, revenge from villains, etc)? The only way I can think of doing it is the old sitcom "back to one", where any given consequence doesn't really carry over from week to week.
On a side note, I wasn't watching the Twitch stream, and you didn't bring up any of your interactions there in the podcast; what exactly were you doing live with the audience?