Possible Cause for Mac Problems
I don't know if this applicable to all Mac users affected, but for me if you pop open Activity Monitor and look at CPU usage, when a league game is started the user Kernel is ALWAYS non-responsive. You can quit it mid-game without anything happening to the game, and it does improve framerate issues a small amount until it returns as a process again. It eats up at a minimum 80% of CPU of a Macbook Air that is only half full memory wise.