LarryFlowers said:
Sony is notorious for not supporting 1080p/24
The TV in question is a 2005 model. In 2005, the number of consumer TV manufacturers that supported 1080/24p was ONE: Pioneer made a single, high-end, very expensive model that supported it. That Pioneer aside, the first TVs that supported 1080/24p came out in 2006, and included Sony's entire HD line, among which were the KDS-xxA3000 TVs that replaced the OP's 2000 series.
I'm not sure where the perception comes from that Sony is any different than any other manufacturer in this area, but they aren't. Of the big TV names, the major offenders were Mitsubishi, Panasonic, and (if you consider them "big"), Visio, who didn't support 1080/24p input signals until 2008.