Trade with him to make him lose trait then.
Your acting as if you need to be pressuring batman while his trait is active, and when he doesn't have trait his free literally.
His trait pressure isn't even really that much. he doesn't have a 50/50, he has a low, a cross-up and a throw that's going to be teched
Not everyone has the luxury of a fast projectile with enough recovery and damage to keep up trading with trait and batarangs , he can always bait a projectile when he has 2/3 bats and punish with trait+grapple , if you're reacting to batarangs to trade he can get away or closer to you depending on what he wants , point is he's getting his trait back in no time and you can't stop him from it.
3 bats + interactable = you're going to get hit one way or the other.
Double jump to avoid interactables with splash damage.
Huge range on +on block b3.
Trait cancel pressure has shannenigans but atm you can see how well it works in tournaments , infamous b2xxtrait b11 / b23 mixup?
Hard knockdowns on AA grapple into corner f3 / crossup mixups , good meterless and 1 bar damage and can convert into combos from anything.
Yes he has a very weak wakeup game but blocking is an option.
I don't get how anyone thinks batman is anything outside top 4 and we all know how dumb the entire top 10 can be.