At first blush, this reminds me of the phenomena where, every time some problem with evolution comes up (a missing piece in the fossil record, say), the creationists pop up with "See! Darwin was wrong!" arxiv would be completely right to refuse those "take that, Darwin!" articles. On the other hand, maybe there are serious problems with standard cosmology, and other models besides the Big Bang are worth considering.…
This isn't comparable to evolution theory where we have mountains of evidence of other species that were predecessors of the current ones. Or where we even have evidence of evolution happening during our lifetimes (e.g. Covid). The Big Bang theory is extremely speculative. Empirical Science is about building theories based on observations. We have no observations that provide any kind of evidence that there was a big…
That said: Big Bang does explain an awful lot of stuff. I'm not sure what JWST observations you say call it into question, but wouldn't we need a lot more data before advancing Big Bounce or something else as an alternative?