Here’s a crowd sourced list of pocket diapers that unstuff in the wash. Some of them are constructed specifically so that the inserts will come out in the wash and others just “happen” to be that way. I’ll mark the ones where I know the manufacturer says they are supposed to agitate out in the wash with an asterisk.
Moraki (I think you can only buy these used now)
I got this material from the people at LoveMyFluff Cloth Diaper Buy/Sell/Trade group on Facebook. It’s a great group to join to buy diapers and ask questions.