I can't confirm broadcast enabling in combat by itself but, now that you bring it up, I have finished several battles that seemed to very nearly go wrong only to notice that it was on. I always just figured that it was something I had done by mistake.

Anyways, I still don't have a happy resolution to toons getting stuck in run when following but the slave-only movement keys have definatley alleviated the problem when I was broadcasting. Thanks for that.