Forget threatening the other party, it was either the fish died or the net split.
The political enemies of these bigshots would be happy to capture Amanda and torture her for information.
Obtaining intelligence was certainly beneficial, but even if a fish like her died, what would be broken was the enemy's net, and it would still be a happy ending.
After Luke publicly took down the siblings, there had been a fatal slip in Amanda's control over the shadow man.
Previously, the shadow man hadn't dared to have any other thoughts because of the Enchantress's power.
A witch with the ability to teleport and control minds could find him and bring him back in a matter of minutes.
Thus, the shadow man hadn't even dared think about running.
When Batman had sounded him out, he could only leave quietly and not dwell on it.