I understand that the Sterling Steakhouse also occupies a section of the Horizon Court, near the door.
That said, Princess does not refuse special requests. If you ask politely on the night before, the staff will serve any selection on the Sterling Steakhouse menu in the main dining room -- without the surcharge. Don't mention the Sterling Steakhouse when you make the request, though. Just ask for whichever item you would like. Since they have the item aboard the ship anyway, it will be served to your specifications.