In case of programming.
How much do the current LLMs invent solutions for user tasks, how much they just copy and adopt existing open-source solutions from from Github and other code repositories?
This not a problem for open-source code under permissive software license, but works derived from open-source code with copyleft software license should be also under copyleft license.
Could the biggest commercial benefit of LLMs be just working around limitations of copyleft licenses?
What is the monetary value of human work put into copyleft software and later used to train LLMs? It's hard to estimate, but the study "Estimating the Total Development Cost of a Linux Distribution", estimated that it would cost $1.4 billion to develop the Linux kernel alone.
https://consortiuminfo.org/metalibrary/estimating-the-total-...
They do invent code solution for the problem that exists in your codebase. Latter implies that the code solution LLM synthesizes is usually unique of a kind, so, it's not a copy-paste neither it is a simple extract from "another codebase" and adopted.
IMO they operate pretty similarly to humans - we synthesize our solutions, and therefore build-up our knowledge, by collecting knowledge from multiple other sources, including technical books and blogs, open-source code repositories, and our past experiences.