What is the simplest way to Move an object orthogonally with the mouse based on the marked corners (red rings) which are not orthogonal, preferably without having to type in the distance? I have the feeling that I’m missing some smart move-command/trick. These small moves are numerous during a workday.
I always do these kind of moves with gumbal set to snappy dragging. Quickly relocate the gumbal using ctrl - move it to the corner. Then move the object with arrow snapping to the point it needs to align with.