I use a Dell U2312HM monitor for my playback/program monitor, calibrated with the i1 system ... and have had no troubles with either TV viewing via USB drive or DVD or web uploads for clients. In both cases, I see in the final product what I expect to see.
Now ... some of the new TV's may be using different color spaces as there's all sorts of new standards being bandied about. So you'd need to see what any TV that shows up odd is doing for color spaces. Plus the choice of viewing mode makes a huge difference. We have an LG at home that has something like 6 built-in viewing choices from sports to cinema to all sorts of things. All of those choices do things to the image that I don't want, as can be seen when going into the fine controls available on that set after choosing one of those modes.
Sports will lift the gamma and punch saturation; cinema takes the brights down and heavily darkens the shadows, but ... applies an auto-adjustment to lift really dark scenes. Which it does ... uniquely.
Once it was more properly set from a pluge and filter calibration, which was saved to a Custom setting, anything I produce here shows there in very fine shape both gamma & tonality/saturation.
Past that, I just have to let clients see what their monitor or tv shows. As I said earlier, I can't correct for gramma's green tv ... or someone on sports or cinema or whatever "viewer enhancement mode" their tv is set for.
Neil