I think you are worrying about nothing.
TV, what is it? is nothing, doesn't put out anything by itself, is a dumb box that passthrough whatever audio info it's fed to, whether from antenna, cable box, or built-in Apps and whatever Internet channel is sending you.
For the most part don't worry about DTS unless is coming from an Optical disc, and that will be your BR/DVD player, not your TV. And if your SB doesn't support real DTS, the disc in question will have Dolby available. The standard is, they must provide Dolby to you, and DTS as an optional add-on feature.