The Rexine on mine was fairly tatty to start with, peeling and bubbly in places, slightly torn in others. At least this made me feel that I had nothing to lose by attempting to clean it.
I will try to take some photos of the finished set and post before, during and after photos.
Yours really looks rather good with a nice shine and a clean grille cloth. I would be tempted just to try blue shoe polish and avoid any aggressive cleaning at all.
P.S. See this thread about Evaporust. I found it worked wonders on the catches, hinges and screws on my set:
http://www.vintage-radio.net/forum/s...d.php?t=127151