your first argument is useless, as anything might be a path to AGI ... first order logic / expert systems are ...
regarding empirical data, you are bringing up anecdotes that don't hold up. Humans can often learn a concept from 1-2 instances (take the face of Albert Einstein) (even your kids can do that in grammar :) , maybe check how language models are trained in comparison.
do you have any references for your claims? How much data does a human need to learn grammar? do you have any estimate?
you say you can refute Chomsky's claims by empirical data. please show me that data/studies, don't talk about anecdotes from your kids.