'next token predictor' is a limited mental model but it's actually much better than any others.
'pattern matching' is a better intuition that 'reasoning' even though I think nominally, using the term 'reasoning' is perfectly fine in that context. It's just a loaded word that brings too much to the table.
'It hasn't seen the pattern' is a better description of the limitations of AI because it really just doesn't generalize very well at all. The adaptations described in the article don't change that.
Those are mutations, not expansions of capability.
How about "outcome steering" as a mental model? During training it is optimized until it's really successful at producing code / terminal commands / words that make the compiler/computer/itself do something that ultimately completes a long time-horizon task that iswcurrently being trained.