Bartender and NotchBar incompatibility on external screen?

Describe the bug
The system icons on the menu bar stay visible when the BTT Notch Bar is toggled on, but ONLY on my external display. On my MBP 16inch 2021 internal display the behavior is as expected

Affected input device (e.g. MacBook Trackpad, Magic Mouse/Trackpad, Touch Bar, etc.):
I use a StreamDeck to trigger the Toggle Notch Bar Mode action, but have the same behavior with the "scroll down" trigger.

Screenshots

This is the "system" menu bar (using Bartender)

This is the "NotchBar" menu bar

Device information:

  • Type of Mac: MBP 2021 16" M1Pro
  • macOS version: Monterey 12.4
  • BetterTouchTool version: (please post the exact version - not just "the latest one"): 3.821 | 1965