There are only a few tech cameras that allow for lens tilt, and even fewer users using them, probably why you don't hear much about it. A pure lens tilt -- one whose axis is on the optical center-plane of the lens -- will not directly alter the angle of the light path as it strikes the sensor, so theoretically if a centered and zeroed lens did not require an LCC, neither should the tilted lens. However... First off, very few of the existing tech cameras that tilt will offer a pure tilt, so will likely impart some amount of shift and their own brand of color cast associated with it. Second, many lenses impart a color cast even when zeroed and centered (especially short focals), it just isn't always prominent enough to be noticed in a typical image -- but shoot the LCC for that frame and you can often read several points of color cast across the frame.
So my bottom line reco is this: If you shoot a tech cam and want the ultimate in image integrity, ALWAYS shoot the LCC even when you're totally zeroed. If you shoot a tech cam that is always centered and zeroed, a-la the Alpa TC, then at least shoot a set of standard LCC's for each lens aperture you regularly use so you can measure and see they'll be needed.
