Here's my rather enlightening experience with the Sharp LC-65D64U. Out of the box, it wouldn't take 1080P24, in fact, it had a flaw in the main pcb --- after warming up (5 minutes), the video would glitch (loss of synch). Sharp's official firmware upgrade from USB also would not take.
Sharp sent someone over to my house and replaced the main pcb. Besides fixning the glitch, by magic it now takes 1080p24 input. I strained to find judder problems in horizontal and vertical pans. Including the infamous vertical rolling credits.
Truth is, I can't find anything definitive, but I think it does display 24p at 48Hz. And that's why I'm keeping it. But it also means that anyone who buys one now from Costco, out of the box would not have a 24p capable display.