Very possible ideas. An additional concern would be putting small pieces in slots and then trying to remove the pieces from the drawer. Fetching 1x1 or even 1x2 plates would not be enjoyable with these.

You may look for something more akin to a craft organizer box (here’s one of thousands of examples: Embroidery Floss Organizer Box with 36 Adjustable compartments Includes 100 Plastic Floss bobbins and 100 Sticker https://smile.amazon.com/dp/B07Z5LWBVC/ref=cm_sw_r_cp_api_glt_fabc_9YZ1A9SMWJJQ600QH597)

Then you could remove it from the drawer, pieces wouldn’t get messed together. And it’s be easy to port around.