Yes, Cypress and Pine Valley don't currently need the business. However, there's the issue of "if there aren't any pictures, it didn't happen." Because people don't see the best golfers playing these courses on television, some are starting to wonder if these two courses truly are the best in America. Institutions flush with cash feel more pressure when their reputation is in question.
The courses I listed are in the Boonies, but "it you build it, they will come" Some of the British Open rota courses are in difficult to get to locations with a lack of big infrastructure, but they are never short of patrons.
But you still need hotel rooms for The Open and that's why some great courses in Great Britain do not get the Open. As far as the reputation of Cypress and Pine Valley, those in the know and those who vote on such things have no problem gaining access. They will never lose their stature.