I went looking for a puzzle generator to see if an alternating checkerboard piece placement and adding the odd edge lines worked in all cases. I don’t see a case where that doesn’t work to remove duplicates.
I found this puzzle generator which made my previous point moot.
https://draradech.github.io/jigsaw/index.html
All the vertical and horizontal lines are separate, the puzzle pieces are not joined entities
Imported into LightBurn without issue…
No duplicates and very little traverse.
There’s almost always more than one way to do nearly anything in LightBurn.