When I say different types, I mean different types of Xbox 360 203 watt power cables. And I know that my xbox 360 is compatible with 203 watt power cables.
No, it really doesn't matter. All xbox 360's can use the 203W power supply. Though you can not use the 175w or 150w power supply with a 203w xenon motherboard xbox. There are 2 different types of 203w power supply, there's a 2 pin and a 3 pin. It really doesn't matter which one you get, one is grounded and one isn't.