OpenAI has taken the position that training an large language model (LLM) on copyrighted works falls within the "fair use" doctrine. Those who own the copyrights on these works disagree and several court cases are in progress.

This question will resolve to "yes" if any US jurisdiction rules against OpenAI, requiring them to license some amount of their training data. It will also resolve to "yes" if OpenAI reaches an agreement, of their own accord, wherein they agree to pay for some amount of their training data.

An out-of-court settlement with an intellectual property owner is a precedent of a sort but is clearly stretching the meaning of "licensing", it will not count as a "yes".