Brewser,
I will be doing some wiring with this setup tomorrow for a buddy of mine, so I will have concrete answers then. However I *think* I have it figured out.
Each RGB drive can take up to 3 inputs (R, G, and B). You don't need to use all the inputs, but you won't get the full color spectrum if you don't. This might be fine for your setup. For example you may only want the reds, blues, purples, etc. In that case you would only wire the R and B inputs of the RGB. If you wanted them to be green and green only, you would just wire the G part.
So.... for FULL color spectrum you need 3 outputs of the led-wiz. One will go to the R on the RGB drive, another for the B, and finally another for the G. That is why I said the one led-wiz with 32 outputs is not enough for my friend with 16 buttons. He wants all of them to have full spectrum color. At a minimum he would want a 48 output led-wiz to accomplish this. Even then, all 16 buttons would cycle the same and be the same color since they would all have to share led-wiz outputs. Since they don't make 48 output led-wiz boards, he would ideally need two of them.
Now if you got all that, let's talk other connections....
It is possible to splice off wires from the led-wiz so multiple buttons can be powered by one output. You do just that - splice the output wire from the led-wiz and run the splices to how ever many buttons you want powered by it. I think there is a limit of 15 per output, but that is FAR FAR more than you would need obviously.
So I think I can tell you exactly what you need if you tell me how you want these buttons to work. Do you want all 22 buttons to have full color spectrum and run independently of each other? If so, then you need 66 outputs, or three led-wizs.
However what might be better (I assume you have a 2 player panel), is to have the P1 buttons and P2 buttons all match - in both color and their "cycleness". That means those 12 buttons can reuse the same 18 outputs (again if you want full RGB support) , leaving you with 14 other outputs for the remaining 12 buttons.
It all depends on what you want from a look and functionality standpoint.
Think about it, post here, and I will try to help more.