Going by when I was shopping for my computer monitor, I'd say it all depends on the pixel size, how far you generally sit from the screen, and your personal taste.
My monitor is 20", 0.24 pixel size, 1600x1200 optimum ---bigger screen than my old television, much smaller pixel. (Partly because I'm too cheap to get a new TV.) I very carefully went looking for one of the last large CRT monitors, when they stopped making them.
If there is a lot of competition in price, specifications, or features in HD TV's, I must have missed it.
My nephews all sit 3-6 feet from the screen. [I sit 6-10 feet] At that distance, their TV has have finer pixel size for them to have a better view of the image, unless the screen is 2/3 of the size or smaller... my sister has a 30+ inch LCD, which I can barely stand to watch on, because it's widescreen and add 75 pounds to everyone in football broadcasts.
Anyway, I'm in no hurry to drop several hundred dollars on a TV --even twice as big, unless the pixel size it better than the 0.3 or larger that's all I've noticed in these.
I would think if you happen sit closer to the screen, this would be even more important. Personally, as I said, I'm waiting on some sign of innovation ---or this old TV failing (I have a 10" for back-up).
Just my take on the subject --hopefully, there's a tiny bit of help there for you...
Dude! There's no WAY that's your daughter's favorite song!
oh, uh-oh --wait, wait... Is she in a coma???