But if I press F5 on macOS Filebot will display the GroovyPad only: no menu, no contextual menu will bring me the "Application Data" view.
What am I missing?

You haven't updated FileBot recently. Please update FileBot.
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------------------- UPDATE AVAILABLE: FileBot 4.9.2 (r8040) --------------------
4.9.1 did have this feature for CLI users, but it did not have this button for GUI users: