Don’t be shocked if Zsasz makes a point to show up inside Wayne Manor during some inappropriate moment soon.
Plus, he didn’t even disguise his voice when taking the license list from Penguin’s bespectacled goon.
Later, after making a dinner date with Jim and showcasing Batman’s ability to disappear on a whim, Bruce makes a blatant appearance at The Iceberg Lounge and earns more than a bit of suspicion from The Penguin.
As we all know, Batman has a no-kill policy throughout most of the character’s iterations, but he also has this thing about not making his detective work embarrassingly obvious to the people he’s looking into.