I have found that chainline is far more important than chain tension when it comes to throwing chains. The wobbly chainring will definitely ensure that you are not keeping a good chainline. A drivetrain with a properly set chainline can have a droopy chain that will never be thrown while an improperly set chainline will cause the chain to hop off no matter how tight the chain is tensioned. And it is actually much better for drivetrain components to run the chain sorta on the loose side.