Interference at Plate

[Duke]

During the Mich/UCLA game, a UCLA batter was called out for interference when she stepped in front of the catcher as the catcher was throwing down to 2B on the steal. Good call.

Question is a what if. If that was the third strike on the batter and the same thing happened with the interference on the throw down, do you now have the lead runner called out? In this case the runner attempting to steal 2B. The batter would now be retired and interfered with the throw.