I tried to make it completely with user defined parameters, but it didnt work perfectly. I was able to adjust the material thickness, and that would change the sketch drawing, but I still had to go back and make a new extrusion.
Here’s a parametric box I set up in Fusion360 that’s fully parametric except for the number of fingers in the joints. To simplify things I modeled only the 3 unique sides and left out the copies that close the box. I usually work in metric though, and the parameters are unit-specific.
Check it out and maybe it’ll help you reverse-engineer a bit and figure out how to get it working.