Ally of Justice Catastor vs D.D. Warrior/Warrior Lady:
If Ally of Justice Catastor battles a monster like D.D. Warrior Lady the monster will be destroyed by the effect of Catastor without damage calculation. The effect of D.D. Warrior Lady that would activate after damage calculation will not activate.
Same counts for the effect of D.D. Warrior and similar effects that would activate AFTER a successfully damage calculation.
Ally of Justice Catastor vs Neo-Spacian Grand Mole:
If Ally of Justice Catastor battles with Neo-Spacian Grand Mole,
the mandatory effect of Ally of Justice Catastor activates as Chain
Link 1, and the OPTIONAL effect of Neo-Spacian Grand Mole CAN be activated
as Chain Link 2.
Neo-Spacian Grand Mole will resolve FIRST and return
itself to the Hand and Ally of Justice Catastor to the Extra Deck.
Then, the effect of Ally of Justice Catastor will resolve without effect, since Grand Mole already went back to Hand.