Snap View (Orthographic) - how to force it not to use "Y+ is Up"?

Is there some lever I can pull, or a button I can press to force Snap View (Orthographic) to respect the closest up axis of the current camera's orientation, instead of always using world's (or workplane's) Y+ as up axis?
For example, if I rotate the view upside down and snap it, it will rotate back to world's orientation - world's Y+ will become camera's up axis in the snapped view. And in this example I'd rather like the view use Y- as up.