Day-yum, bud, you are good.
FED 7-2-c "When an improper batter becomes a runner or is put out.....
or an intentional base on balls has occurred.....the improper batter becomes the proper batter."
...but occurred to whom? it doesnt specify whether its the IBB to the improper batter himself or the
succeeding batter that legitimizes him. And I dont have a casebook with me.