I'd classify that as an entirely different category than AI self-training. What you're describing could have been done with a short script, though which parameter to tweak and how to tweak it would be difficult to automate with a non-LLM script, so the LLM's being able to parse the error message and base the tweak on the content of the error is a definite improvement to the process there.
But I'd classify this as LLM being used to automate a sysadmin task, rather than calling that self-training.
Yeah I’m not trying to argue it is AGI, but it’s not as simple as a short script. There’s some amount of debugging involved, and no amount of if-statements could cover all possible ways a script could break.
In a way, “recursive self improvement” just means tools helping us to create better tools. At least that’s what the words mean.