I no longer have the stock 6.1 installed, but I don't remember seeing that. But since the OP isn't afraid to flash the ROM, he could try the new stock 6.5, which I now have.
http://forum.xda-developers.com/showthread.php?t=613673
And I just checked and it has a sort of "page with lines" icon for the playlist tab.
Alternatively, the stock 6.1 VZW ROMs (more than one version)are here:
http://forum.ppcgeeks.com/showthread.php?t=82947