If you are
willing to...shall we say ...be more involved with the wash, and you will with a wringer! *LOL* you absolutely will have cleaner diapers!!
Since the wringer has no automatic controls regarding fill level, wash time, pre soak.wash temp, rinse temp, you get to control and monitor all of this this.
So say for instance you are wringing out the diapers, after the first wash, and you see, or smell something, it can be dealt with right away. Like dump and refill, (with or without wringing) or agitate a little longer, ect ect
After working with your machine a couple of times you'll be a pro, and find you own way of making it work for you , and the easiest for you. You and the machine will become ONE *LOL*
In the past diapers were usually pre soaked over night in a mild Borax solution, or Baking soda, That you can easily do with your wringer!
If you don't like, or want the Borax, then just a cool or (room temp) over night soak with mild detergent, in the morning, just empty the machine and refill with hot/warm and use what ever soap/detergent works for you, Be sure to rinse diapers well (twice)!
HTH