I'm with Fins. A new anything will reflect newer technology and newer ways to get more for your money, due to ongoing learning of how to make products for less money, than a refurbished anything.
A refurb is an old product with older technology plus anything from a fresh wipedown to a few new parts (to make it work again) added to the old parts that make up the rest of the TV.
A good answer is easier with a clear question giving the make and model of everything. "The biggest problem in communication is the illusion that it has taken place." -- G. “Bernie” Shaw