Ability to parametrically generate featured faces for complex solids

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Hello all! I'm new to CAD, so I may use some incorrect terms in describing my goals or challenges.
I've been producing wood and paper lamps for a little while now with OpenSCAD, Adobe Illustrator and a laser cutter, but wanted to use a proper CAD package to make my life easier. My goal is to quickly produce lamps based on simple solid shapes, or unions/differences of simple solid shapes. I started by recreating an existing lamp in Fusion, with the shape of a rectangular box.
I've set up this Fusion model with user parameters for the number of windows I'd like in each axis, and the lamp's faces are all generated parametrically from there. Each face is two layers, a frame and a grid layer, with the grid providing structure through box joints.
Here's one frame removed, and a grid panel alternately textured for detail.
This is where I am not sure where to look online or in the software to continue, or even what terms to search for on forums. This design was created by manual creation of faces, and patterns and extrusions, and can't easily become anything other than a rectangular box. I'd like to know if what features in Fusion360 I could look into to produce more complex forms parametrically. I haven't found much in the realm of sketch generation from SVG import, or voxel based parametric assembly. Am I looking at python scripting being the most robust method for this family of designs?
Any help in being able to generate multiple sketches for faces based on sets of rules would be much appreciated.
Thank you for your time and input.