The thing about the Court is that their modus operandi is to control Gotham from behind the scene. They're not fighting types, and even the Talons are supposed to kill in secrets. They're more about politics and keeping in power.
So unless they're gonna start telling a story about politic and how that affect the lives and people of Gotham, they're gonna be shown as failures, because the moment the Talons are out and the heroes find out about it, they'll fail as per action hero story law, especially since the Bat fam know where their hideouts are and have their names.
Actually, while the Batfam knows their hideout and names, The Court also know the Batfam hideout and their names. I'm sure the Court keeps the Batfam secret to themselves because they find them useful in reining in the criminal elements. They are rich people who want to keep ruling after all.
A story about The Court should be a detective or intrigue story, not action. The action should only happen in the climax once the plot is discovered. Kinda like the very first Court of Owls story by Snyder.
The only thing the Bat fam don't have against them are good lawyers since these are rich people who will go out of prison fast because of Gotham's corrupt system.
We need to be shown how exactly The Court control Gotham if we're to take them seriously as a threat instead of quirky billionaires. They need to be overseer or mastermind, but the way they operate that can mean multi-story arc, or even a whole run, not just one.