I've heard a lot of original-artist-endorsements of covers before, but the
only artist I've ever heard say, "
That's not my song anymore; it belongs to him now...", is Trent Reznor in reference to Johnny Cash. I will say, though, that pretty much all of the songs you listed above are probably more well-known popularly than the original recordings.
One I'll have to add, for humor's sake (and my wife's perpetual embarrassment that I will never, EVER let her live down), is apparently Johnny Cash's countrified cover of Social Distortion's "Ring Of Fire".