With the Joker MU:
1. I wanted to say that you are severely undermining the usage of trait bats in this MU
2. I saw the match against Sonicfox. He was disrespecting you so badly in so many different manners. I don't mean this in a "oh you suck" kinda way. I just wanted to inform you that he was getting away with murder (From a blocked crowbar, he did dash up and then j2 crossup.... WTF. Also 32 teeth is a no no)
Anyways,
Trait bats are a crazy good counter tool against Joker in both the zoning and rushdown department.
Zoning: I agree that, in going completely full screen, Joker wins. However, if Batman's midscreen and has trait bats out, Joker can not mindlessly use gunshot. He reallllyyyyyyyyyyyyyyy has to respect those bats because they can punish gunshot on read into a full combo.
Rushdown/Neutral: Before, I get into the whole trait bat situation, I just wanted to point out how hard it is for Joker to punish Batman's jumps on reactions (It's 12 frames dang!). I agree that Joker's normals do outrange Batman's normals. But, again, trait is super useful in this category as well. Because we have to respect Batman at 60 - 70% of the screen, it's fairly easy for a batman player to get in (as long as they're not mindlessly dashing).
The problem is that Joker doesn't really have many options to deal with trait bats. He has to respect them at many parts of the screen. Then he has to pretty much eat Batman's pressure when he gets in (very easily might I add). From then on, our option is to backdash, which puts us closer to the corner. Or we can get lucky with a poke.
I also want to say that all of what I said works in reverse too. If Joker's trying to get in, he's going to have to wait till trait bats are gone, but if they're not, he's got to respect that a lot when rushing down. Especially with Joker's normals, although superior, they don't really doesn't matter if batman is keeping him away with batarangs and trait bats. Aside from J3, Joker's jump normals can most definitely be anti-aired on reaction. They can also be countered by regular batarangs if spaced properly (because batman does a dash back for the animation)
In conclusion: Trait bats are crazy effective if used properly. Do not undermine it's usage because it controls all of Joker's movement.