Do you actually understand its proof? On what basis would it be disproven? It's really difficult for me to even conceive of what disproving it would even "mean" - you seem to think that it's somehow tied to whether the universe is deterministic, but it's not. A "disproof" would essentially break the very logical tools used to construct itself (since it is the nature of these that Godel's theorem concerns); it's like trying to drive further north than the north pole - there simply isn't a conceptual direction to go unless you completely redefine the meaning of "north".

Edit: Also, Laplace's demon has likely been formally proven to be impossible: https://phys.org/news/2018-05-proof-reveals-fundamental-limi... Perhaps your apparent belief in Laplace's Demon combined with the comparison of this proof to Godel's Theorem is your motivation to suggest that it can be disproven?

That being said, for most people who aren't operating on your level, the fundamental existential questions haven't changed much in a few hundred years. "Are we alone in the universe?" is probably among the newest for us.

And yet despite the certainty of death, we, individually and as a group, seem to have an unquenchable desire to know more. To know is to grow, and this collection of processes we call life has never been seen off the planet so yeah, it'd be quite some growth.