For me the next level of refinement is the edges, there are a lot of visual edges now, and the diecut edges are always difficult to have raw. Have you looked at the live type of hinges in products such as the Joseph Joseph Chop2Pot or Chop2Rinse? Recent version of the product also have a rubber co-injection.
This product is made with a combination of injection molding and “coining” compression and stretching of the plastic in the hinges, something you could easily prototype with your Clicker machine and a sheet of polypropylene or polyethylene.
Thanks for adding all the images in.