To some people, having no remote control (in case of a monitor) can be an instant deal breaker. So it's up to you if that's important.
Also since it looks like this is only going to be used for cable TV (if I understood correctly), do you really need Full HD (reason for the monitor)? Granted you'll subscribe to HD channels, for 24" screen viewed from 3 to 4 feet, 720p (on "HD Ready" TV) is already great. In fact, the non-HD (SD) channels tend to look bad on high-resolution monitors that do not upscale nicely. As for TVs, those small HD Ready TVs tend to handle SD video better than Full HD ones anyway. More importantly, monitors show you the image as it is, while TVs are designed to do image processing that can enhance picture quality.
Plus if you plan to use it other than for cable TV, which seems to be the only reason to need Full HD, a monitor doesn't have a USB port, so you would need a separate player.