As far as I'm concerned, the two bucket method is where you have one bucket of soapy water, and another with straight water for rinsing.
So in your case, you would just have two soapy-water buckets.
I would prefer one rinse and one wash bucket. Even better if the rinse bucket has a GritGuard to trap the dirt at the bottom. Then the water in the wash bucket stays clean, and the rinse bucket holds all the dirt.