This ended up being an error. As summed up by my good friend Wilki....
Queen - The Unauthorized Club Record
10 Track Promo CD-R
1999 - USA Hollywood BASIC: PRCD-61292-2
Living On My Own (No More Brothers Mix)
Bircycle Race (Junior Vazquez Mix)
We Will Rock You (DMC Version)
Tie Your MOther Down (Reznor Mix)
The Miracle (Cohen-Jiya Mix)
Cohen is Keith Cohen, not David Cohen. Jiya is Femi Jiya. They both did some producing for Prince. Keith Cohen also apparently did some remixes for Living In A Box, that Brian appeared on.... Blow The House Down (Keith Cohen Mix) 6:14.
This was posted on Queenzone some time ago by Wilki... many thanks to him. Sorry for any confusion.
Updated October 2, 2016