Yes, lots of people have argued that Chomsky is wrong about various things for various reasons and at various times. The point of my post was not to get into all of those historical arguments, but to point out that recent developments in LLMs are largely irrelevant. But I'll briefly respond to some of your broader points.
You mention 'neural networks' learning rules of grammar. Again, this is relevant to Chomsky's argument only to the extent that such devices do so on the basis of the kind of data available to a child. Here you implicitly reference a body of research that's largely non-existent. Where are the papers showing that neural networks can learn, say, ECP effects, ACD, restrictions on possible scope interpretations, etc. etc., on the basis of a realistic child linguistic corpus?
Your 'continuities' argument cuts both ways. There are continuities between human perception and bat perception and between bat communication and human communication; but we still can't echolocate, and bats still can't hold conversations. The specifics matter here. Is bat echolocation just a more complex variant of my very slight ability to sense whether I'm in an enclosed location or an outdoor space when I have my eyes closed? And is the explanation for why bats but not humans have this ability that bat cognition is just more sophisticated than human cognition? I'm sure neural networks can be trained to do echolocation too. Humans can train an artificial network to do echolocation, therefore it can't be a species-specific capacity of bats. << This seems like a terrible argument, no?
Poverty of the stimulus arguments don't really depend at all on the assumption that parents don't correct children, or that children ignore such corrections. If you look at specific examples of the kind of grammatical rules that tend to interest generative linguists (e.g. ACD, ECP effects, ...) then parents don't even know about any of these, and certainly aren't correcting their children on them.
Chomsky has never made any specific estimate of the 'amount' of input that babies receive, so he certainly can't be known to have underestimated it. Poverty of the stimulus arguments are at heart not quantitative but rather are based on the assumption that certain specific kinds of data are not likely to be available in a child's input. This assumption has been validated by experimental and corpus studies (e.g. https://sites.socsci.uci.edu/~lpearl/courses/readings/LidzWa...)
> Babies hear language from the moment they're born until they learn to speak
I can assure you that this insight is not lost on anyone who works on child language acquisition :)