Yep, I was give a further explaination.
ITB's don't Interrupt everything in Battle (Aparently) they only Interrupt stuff kicking u out, the Last Enh, and Ongoing Abilities.
Interrupt the Battle has a specific list of targets:
all active ongoing abilities
abilities that are defeating one of the characters you control in battle
the last enhancement played in current battle if it was played by your opponent.
Interrupt the battle only includes such abilities if they are on cards that are in battle.
If any of those targets are CBI, then they cannot be affected by the ITB.