That's an either or thing isn't it? They should have dial feet, being a Swiss 6497 and if you look at the movt. where the screws that hold the feet are, you should be able to see the bottoms of these alleged feet ...
If you see holes where the feet are squeezed then you can predict the dial is stuck ..
The system BTW that holds the feet is an eccentric screw, that is when you turn it it tightens onto the dial foot, but if you keep screwing it, it will loosen eventually as you only have 360D of rotation on the screw ...
Often you have to apply a bit of lift onto the dial and then rotate the movt's dial foot screw, to 'feel' when it hits the loose part of the rotation.