No - if anything fewer pieces or a solid piece should be better. Argument being that the bigger piece is less likely to vibrate.
But in my experience once you get to 1 1/2" - 2" thick its a moot point.
In terms of wood, maple is the classic. I personally use myrtle - I figured George Cardas must know a thing or two.
The key is that it is a heavy piece of hardwood - say maple versus a lighter, softer piece like pine... Better form stability too (ie won't warp)
If you look at some of the other classic solutions you'll see the same thing at work. Granite is tremendous for some applications - but I don't like the sound of metal tweaks with it. Black Diamond Racing makes "The Shelf" which is a phenomenally heavy piece of solid carbon fiber - very popular with the platter and turntable crowd.
Certain plastics (can't remember if its lucite or acrylic) when they are 1" or thicker are also rock solid.
Try the bamboo - if you can hear the difference between it and the maple your ears a lot better then mine =)