I would perceive the statements differently. But strictly grammatically speaking, the first one is correct. The second one is not. original: "Would you be open to rotating the couch clockwise 30 degrees?" If asked this, I would think that we were discussing the possibility of rotating the couch, and my opinion on the matter. While "Would you be open to rotate the couch clockwise 30 degrees?" is technically incorrect, it sounds ok to me, and the meaning that I perceive when reading this is that you are asking me to perform the action myself. So "Please rotate the couch 30 degrees." / "Would you please rotate the couch ... ?" would work in this case. For further research consider looking up rules on when to use "gerunds versus infinitives".

You have changed a correct sentence to an incorrect one. So yes.

Both would be understood, although it would be more common to use rotating. It would also be degrees not degress.