I think the differentiator between AR and VR should be this question: Can other humans and non-human lifeforms perceive a change or difference in reality as a result of that device?

TV can be considered a primitive form of reality augmentation. As I said even your cat can see and hear what's on. Even aliens who see in an entirely different spectrum (or don't have any vision at all) will be able to pick up the colors and sounds generated by that TV, through their monitoring instruments (just as we can "see" infrared and detect magnetism etc. through our tech.) A television set modifies reality in the space occupied by that set, for everyone, however minor that modification may be. By that definition I suppose even paintings can be considered AR.

Again this is just my opinion. I don't know how the Star Trek holodeck exactly works (in-universe) but it would be AR, as I'm assuming that anyone outside the holodeck will be able to see the generated visuals if they were to peek in through a hole, as it were.