If a company can make money by doing something, legal or not, we should assume that they will always do that thing. If the penalty for lying about how a work was produced is less than the money a company will make or can protect by illegally enforcing a copyright we should expect them to lie. I'm sure plenty of people would take a steady paycheck for the risk of a lawsuit if the company assures them they'll do everything to protect them.
Companies have repeatedly been caught suing people for violations of copyrights they didn't actually own while paying zero consequences for it once they were caught. For examples see https://www.techdirt.com/2020/03/26/riaa-realizes-it-sued-ch... and https://blog.ericgoldman.org/archives/2010/03/viacom_v_youtu...)
I'm not saying this is an unsolvable problem, but it will take actually imposing severe and meaningful consequences for companies who lie.