It's 100% a new problem. There's established precedent for things costing different amounts depending on their intended use.

For example, buying a consumer copy of song doesn't give you the right to play that song in a stadium or a restaurant.

Training an entire AI to make potentially an infinite number of derived works from your work is 100% worthy of requiring a special agreement. This even goes beyond simple payment to consent; a climate expert might not want their work in an AI which might severely mischatacterize the conclusions, or might want to require that certain queries are regularly checked by a human, etc