You appear to have gone down an imaginary alleyway, and lost track of the difference between conceptual tools, and reality.
If you consider whether or not 'L' shaped things exist in the world, consider that a neural net when given such shapes hundreds of times in many orientations and subtle variations actually learn to identify them. The weights of the connections train to the shape by error correction. so the 'concept' of an 'L' shape actually exists in a physical substrate.
It must also, on that condition, be in the world as something real. Something about the structure in the world trained that network. So there IS L-ness in the world.
No. Simple test: Let's say you bring into a secure room, a certain number of perceptive beings who can remember what they are shown or taught, and you educate them all in your idea of an L shape being useful or significant. They do not appreciate "L-ness" because it "exists." They understand that the arrangement of physical objects in a certain general kind of relationship to each other, has been given a name by you, of "L."
Now for the key part of the experiment: the proof of reality.
Remove all of your "students," and all of your teaching tools from the room.
Does "L-ness" remain there?
No.
"L-ness" does not have existence independent of observer choice.