I think it's rather unfortunate that writing regression tests is seen as a heavy burden. Compared to determining the cause of a bug and the right strategy to fixing it in a maintainable way, writing such a test should be simple, no?

I'm not at ease regarding LLM generated code changes to a project with a (hopefully) long expected life time, but LLM generated regression tests should be less contentious. I wouldn't expect them to be maintained much; rather, if they don't perform as intended against a future build, just have them recreated.