QmlLive is unresponsive after opening a qml file

When starting the qmllivebench with the ivivehiclefunctions/climate_qml example, the UI is loaded as expected, but the whole UI is unresponsive.

It doesn't hang, as resizing still works and it adapts the layout, but using any button in the toolbar doesn't work. All items in the menu bar are disabled.

I already debugged this further, and this happens because the example opens a modal Dialog (QtQuickControls2 MessageDialog) and QmlLive doesn't show this dialog (for whatever reasons) and the modality gets applied to qmllivebench completely and by that you can't interact with it anymore.