Thank you for writing.
control is internally working with split button elements. These elements are created dynamically depending on the selection in the tree. The split buttons are by design opening the drop-down whenever they detect a click no matter if the click has been invoked on the action or arrow part of the button. Achieving the desired behavior is possible and for the purpose, you will need to create a custom breadcumb control.
I am sending you attached my test project which should get you going. I am assuming that you would also need to rotate the arrow images horizontally and this can be achieved in the SelectedNodeChanged event of the tree. Additionally, you can also check our File Explorer
example in the Demo application: Demo Application --> Panorama --> Demo Apps Hub --> File Explorer
I hope this helps. Let me know if you have other questions.