This isn't really an issue for TV boxes.
Why You Should Use RGB Limited
Not every TV will let you choose your color space. In fact, many TVs will be set to RGB Limited with no option for RGB Full. So, for everything to match up properly, you’ll need your devices set to RGB Limited as well.
But what if your TV offers a choice between RGB Limited and RGB Full? RGB Full sounds better than RGB Limited, right? So why wouldn’t you just set everything to full all the time?
As we mentioned earlier, TV shows and movies are mastered in RGB Limited range, so you actually gain nothing by outputting them in RGB Full. In fact, if you set your console and TV to RGB Full, you’ll lose those whiter-than-white values that movies and shows contain, and you’ll also get some minor color banding artifacts from the conversion from Limited to Full. Even Microsoft “highly recommends” you leave your Xbox One’s color space set to RGB Limited.
So, in almost all cases, you want your TV and everything hooked up to it set to RGB Limited, so they’re all speaking the same language. It may not sound better, but it actually is.