Although I've tried a zillion ways to remove the centre info over the years with (as everybody else who's tried to say - very indifferent and unreliable results) little success, I'd never thought about trying to then matrix out the vocal - so I have had a go.
what I did was take a small snip from an Eva Cassidy song - complete with hiss, because it's typical - and only has a voice and guitar - so far, far the simplest material to process.
First treatment was to remove the centre channel, karaoke style, and then take the two and matrix out just the original vocal
here are the versions
originaloriginal with vocal removedmatrixed out leaving vocalThe problems are quite obvious. The reverb wrecks the vocal removal - the hiss isn't a major problem.
The end result is pretty poor - certainly not usable. As everyone has said - a totally unpredictable and unreliable process.
For info, the vocal removed in audition, then the matrixing by cubase sx - all from 44.1K wavs from the CD, only converted to mp3 for the web - the artefacts heard are all present in the uncompressed format - horrible!