The bridge Cold Sweat is only ceramic.
I can assure you that the Holydiver will do Rock as that's what constitutes most of our set and it's what I use most of the time. I have used Cold Sweats before too and if you want a brighter and more cutting tone, they will do it too. For the Holydiver, think Doug Aldrich and Jake E. Lee while for the Cold Sweat, think John Sykes but don't get too hung up on those comparisons as they're both very versatile pickups. I've used both to play everything from Blues Rock to modern Metal and they both cope just fine. If you want thick, warm, organic and fluid with lots of articulation, get the Holydiver. If you want something tighter and brighter, get the Cold Sweats.