>It is at its heart a bunch of nodes linked together with different weights that basically just figures out that “these words tend to follow these other words”

You have just described my brain :D

>It doesn’t use logic in the human sense, and doesn’t have common sense.

I would argue: Neither do we.

>One of the problems is that it actually is has a tendency to make false statements and logical fallacies in its results (while sounding super confident)

I know that problem from somewhere. It did not originate with the invention of chatGPT.

Please be aware that I am not entirely serious... But all of those are also pretty good arguments to deny humans the term General Intelligence :D