Again, I think the disagreement is not whether it has learned to approximate a sorting algorithm, but whether that qualifies as reasoning and, if it does, in what sense.
I won't take a hard stance on what counts as "reasoning", which I picked in the title for lack of a better summarizing word; I am open to alternatives. So if you think that making abstractions and implementing a sorting algorithm does not count as reasoning, I will not disagree with that position. Where I am going to take a hard stance is on what does a stochastic parrot cannot do. And a stochastic parrot, defined as "stitching together sequences of linguistic forms it has observed in its vast training data, according to probabilistic information about how they combine, but without any reference to meaning", cannot sort lists of 127 characters.
Given that so often the people claiming GPT4 is a stochastic parrot don't understand what stochastic parrots are, it can be said that they are the stochastic parrots themselves.