Daniel,,,
That skinning technique works like a charm but the trick is not to make the cut behind the tail to wide. The tendency is to cut to far on either side of the center of the tail,,,, just make a small cut, perhaps and inch or so on either side, that's all you need,,,, then it will pull right off just like in the video. If you make the cut to wide then what happens is exactly what happened to you,,,,,,, the tail will rip off.
Give the technique a second try,, you won't be sorry....
Jeff