If you live somewhere sunny the chances that an LCD screen will be much more use than a chocolate tea pot are remote. I still have an old monochrome display 'phone because none of the colour displays are visible in sunlight. It was hilarious last summer watching one of our visitors trying to take pictures with her compact when the screen was utterly useless, and she had no viewfinder. It must have been like trying to nail mercury.
I started back in photography with a Fuji S9500, a super bridge at the time, which had an articulated screen. I used it from time to time. However, the 'live view' on a bridge is rather more immediate and accurate than the implementation I have seen in DSLRs. Since having a DSLR with live view I have used it once. On a compact, bridge, or a Sony with it's much better system, then I might use it - but only occasionally. I won't even buy a compact camera that doesn't have a viewfinder - makes my next one a Canon G somethingorother I reckon.
In short, in poor light I can see that both live view and an articulated screen can be very useful. Although the viewing angle on my old DSLR's screen is large enough that I can't see the point of it articulating.
I'm sort of with Chris on the 'if you don't want it, don't use it' idea. But if I don't want it, I don't want to have to pay for it either

And that definitely goes for video of any description.