We need to ask deeper questions on what human creativity actually is.
Why didn't humans 10,000 years ago make a car or a spaceship? We had the same minds back then from what we can tell biologically. Why in the 1500's did the precursors of these ideas start to come about? Data is needed, along with some method of analogy. Quite often when big breakthroughs happen there has been a massive amount of information gathered over the years. This is why said breakthroughs are not generally random. They are by people with the time, wealth, and information ability to put the pieces together.
>The data being learned now is all labeled by humans and simplified through human cognition.
Eh, that was a 'few years ago' thinking at this point. AI learning is working with a large amount of self gathered/generated training data now. At the same time almost everything you gather information wise is based on the interpretation of the society you live in. Reality tunnel is the term for this. Entire societies, millions of people, can be blind to something you see as obvious. Humans are not standalone machines, throw us in the woods as babies and you don't get a person that sees the world differently, you get a feral child that may never be capable of higher learning.
In this sense AI may be hobbled for some time. There are very few large models and they have a lot of the same biases, it's like a world that only 10 people live in for AI. Maybe over time training models will get far cheaper and then we'll be able to explore the frontier of having models 'do crazy shit for the fun of it' kind of like humans do quite often.