Not sure if JWST is capable of that but I believe next step in furthering our insignificance will be concluding (due to looking closer and closer to the Big Bang and finding contradicting evidence like huge, very old galaxies) that Big Bang was not a creation event just a "small", "local" annihilation of "some" amount of matter and anti-matter that kinetically blew remaining stuff apart sort of dragging the deformed space-time along. So we can't have any hopes of seeing any evidence of actual beginning of the universe or even any proof that it wasn't eternal.