Careful use of Punisher’s three special attacks is key to maximizing his damage and utility.
Against opponents where you might need to use the Battery a lot for Heal Block or Power Lock, use the Special 1 buff to keep your battery charge high throughout the fight. If your Battery starts getting too high and you don’t want to risk going into Overdrive, simply use a Parry and a Heavy Attack to reduce your charge quickly.
Against opponents that Evade a lot, try using a special 3 right as you cross over into Overdrive. The massive damage boost will remain through the entire special attack and will even boost the damage dealt by the disintegration effect. Additionally, because you are in Overdrive, the opponent will gain very little power from receiving a Special 3.
Using a Special 2 while in Overdrive is good, but not as good as using a Special 3. Because the cost to activate Auto-Target happens immediately, you’ll lose 20 Battery before the first attack has a chance to deal damage. Instead, use Special 2 as a means to finish off an opponent that has an Evade or powerful Armor Up ability.