It seems unlikely that recursively predicting the next word would lead to creativity or invention, but it doesn't seem impossible. Similarly, it seems unlikely that human thought works in a similar prediction loop, but it doesn't seem impossible.
Sure, but until we can turn that tautology into something more rigorous, we can't tell if the thing humans do is more or less than what some arbitrary non-human (machine, animal, or eventually perhaps alien) does.
That has nothing to do with creativity as its own concept. Its creative to invent flight similar to the Wright brothers. Its also creative to use a stick to get termites from their nest or come up with new techniques for hunting pray.
Ignore the fact that we are human and thing our ingenuity is unique. Is definitionally linking human ingenuity and creativity useful when trying to compare to others?
I could say earth is habitable so any other planet must prove it is similar to earth to be habitable. That simply doesn't matter, though, if different environments could lead to similarly complex living systems regardless of atmospheric makeup, precense of liquid water, etc.
I'd argue the burden is on you to prove that the definition you propose is meaningful beyond our own hubris, rather than expecting an alternative to now have to prove that the hubris was unjustified.