Yeah, it does matter, though the issue is not exactly just monetary profit. The fundamental problem is OpenAI has made the GPT model weights artificially scarce. But at the same time they claim that other artificially scarce information such as books should not be scarce and instead belong to the intellectual commons. The latter part which I agree with, but they took from the commons and are claiming what they took as exclusively their own. That is just evil.
There would be no problem if they open-sourced everything including the model weights. That was their original mission which they have abandoned.
Another fundamental difference: OpenAI explicitly markets their tool as a replacement for the copyrighted material it was trained on. This is most explicit for image generation, but applies to text as well.
As a reminder, the 4 factors of "fair use" in the United States:
1. the purpose and character of the use, including whether such use is of a commercial nature or is for nonprofit educational purposes;
2. the nature of the copyrighted work;
3. the amount and substantiality of the portion used in relation to the copyrighted work as a whole; and
4. the effect of the use upon the potential market for or value of the copyrighted work.