In that 2006 message from the Bide et Musique website, the OP says that he has a full album of the artist but with no name (probably an unmarked CD).
"I'm thinking it could be from a new years album. For example I found this one: https://fr.shopping.rakuten.com/offer/buy/71020/Collectif-C-est-La-Fete-Special-Reveillon-De-L-an-2000-CD-Album.html
There's an "exclusive" song by a band that seemingly doesn't really exist outside of this, and it's about the year 2000.Can't find it though. Only way to find out if it's the one would be to buy it, and there's probably a lot of albums like this one. So it's hard to say if it's that much of a lead.