And then... That's Damn! Softbox!
One Empty, and it drives the whole rig: Key, Fill, Rim, Bounce, Flag, with actual 3D handles drawn like a gizmo.
Save a setup, load it back on the next product, tweaks a bit the lights, and go on.
Client apparently got their 27 renders in time.
Figured other people doing product work might want the same thing.
If there's enough interest, a Maya and Houdini version is next, properly modernized this time, not held together with Maya 7.0 and duct tape =D
Link's in the comments. Needs Blender 4.1+ (tested with 4.1 and 5.2)