Special thanks to Discord user Manic L0rd for catching the issue of monsters with 0 ATK battling. For most of the early years of Yugioh, when two monsters with 0 ATK battled each other, they would be destroyed by the battle. However, this interaction was overturned in 2011 such that neither monster would be destroyed. Research points to the change finally being implemented in Rulebook Version 7.2 released with Structure Deck Dragunity Legion [REF].
Thus, in Edison Format, when two Attack Position monsters with 0 ATK battle each other, they will be destroyed as a result of battle. Keep this in mind when using "Battle Fader" or "Dandylion" in your Deck!