Pardon my ignorance, but if I were to buy one of these new fancy TVs with Android from Sony og Philips, would I be able to run Kodi on there in a fully working state or do these TV's not have the horsepower for it?
In theory, yes, but you'd want to look at the chip specs before making any assumptions as to how well it will perform compared to a dedicated box. I haven't see those specs in detail anywhere, have you?