I think you are. If you 3D print the original model, the slicer cuts it along the longer extent. We are talking about rotating it 90 degrees to put the long extent on the Z axis. And then cutting it up for the laser cutter the way the 3D printer would do slicing now.
In my version, you only do this 90 degree shift for the “walls” and you do the sun filters individually. But I believe you are saying to just do the whole thing exactly the way a 3D printer would do it.
What I cannot see in your version is how you keep the layers connected. Connecting the walls together is trivial, one long bolt along each bottom corner, and maybe some glue along the inner disc of each wall. But if you have multiple layers making up the tiny slats… do those work out to still be thick enough to run a long bolt through? Or are you planning to deal with glue on myriad tiny pieces per layer?