The argument about LLMs not being copyright laundromats making sense hinges the scale and non-specificity of training. There's a difference between "LLM reproduced this piece of copyrighted work because it memorized it from being fed literally half the internet", vs. "LLM was intentionally trained to specifically reproduce variants of this particular work". Whatever one's stances on the former case, the latter case would be plain infringing copyrights and admitting to it.
In other words: GPT-4 gets to get away with occasionally spitting out something real verbatim. Llama2-7b-finetune-NYTArticles does not.