I think I have figured out one thing that locks all of live.
Three times now in DH leagues I have tried to move the DH to the field, not remembering that you can't do that, in a double switch scenario. When I try, it gives me an error message that the P will have to bat and won't let me do it even if I OK it. Twice I clicked ok and got back into the game, but then it froze as did all of LIVE. Once I tried to do it, got the message and then reset my subs, but it would not let me proceed even though I did not move anyone. I exited and came back and Sparky made the sub for me.
I was just in a game with sabreclub and tried to move my DH to the field, it gave me the message that my P would have to bat, which was fine so I clicked OK and then it locked and everyone in LIVE it looks like had to exit.