Yes, but Parrots don't mimic the stages of learning speech development like children do. They just memorize a phrase.
These SOTA LLMs aren't trying to mimic existing children's drawings, but interestingly they're following somewhat similar progression that human children do as they develop.
They don’t develop. We should stop anthropomorphizing LLMs.
AI labs are improving the ML techniques used to build better models; it’s a big difference.