Reminds me of Islamic Mashrabiya screens.
https://duckduckgo.com/?q=Mashrabiya&ia=images&iax=images
Historically, the screens were quite simple, with more complex patterns reserved for ceramic tilings (symmetry groups, colorings, knots and intertwinings). Now there are good modern screens with more innovative patterns, made with computer-controlled laser cutters.
In a quick search for Kumiko examples, I very much like the irregular patterns that add or remove various symmetrical elements across the piece, often in an irregular macro-pattern. Similar pattern evolutions are possible with Islamic designs, but are not yet common - perhaps an opportunity.