I didn't clearly state it, but I don't mean "the same", strictly speaking. But they do have some right to it, and what rights they have are up to the both of you to decide.

If Google Docs said in their Terms of Use that they wanted full rights to every document created in the product, I assume very few people would use Google Docs. But if they reserve the right to train an LLM on the data to create better suggestions in various contexts, I assume many people would be fine with that, and will continue to use the product.

Ultimately it comes down to a) what the company wants, and b) what people are willing to give. None of these commercial products we're taking about here are monopolies, so users always have a choice whether or not to agree to these terms.

There's nothing inherently wrong with that setup?