No, because they aren't modifying the software, a proprietary service is modifying the software. The freedom belongs to the company owning the LLM, not the person using it. If the freedom belonged to the person using it, then they would be able to exercise that freedom without an LLM. As they cannot, they did not in any way gain freedom by using the LLM.
If you think remixing games using an LLM is cool, I don't want to take that from you. It just isn't FOSS. The wholesale contempt that so many AI users have for human coding demonstrates that it's an entirely different culture with different ethics and different goals.