It's not necessarily doctrinally that crazy in copyright law. Some courts have considered AI training on copyrighted works a "transformative" use (traditionally more protected in fair use analysis), while providing human beings access to the works a "consumptive" use (traditionally less protected).

There's also a fair use consideration that favors noncommercial use compared to commercial use, but that's not the only question, and the statute doesn't say clearly how to combine the fair use factors.

But it's possible under the Copyright Act that some commercial uses of copyrighted works could be considered fair uses while some noncommercial uses could simultaneously not be considered fair uses.