That's the way we do it too. Frozen fruit is just fresh fruit locked into a state of suspended animation, so I'd say yes it counts. Do you freeze your bananas also? We buy bunches and bunches and cut them up as soon as we get home. I normally have 2 or three large zips of them in the freezer along with strawberries, mango, blueberries, pineapple and peaches. I think it's smoothie time...