Orthographic view switching does not work when in detached windows layout.
Detached windows layout is really the only mode that works efficiently on multiple displays. Since all windows can be moved around there. Not just the entity inspector and two surface inspectors. But it is also not possible to use the Orthographic view switching method in that mode. Forcing you to use the 3 orthographic view layout instead. Which is not as economic on the screen surface as the aforementioned view switching.