Letting AI self-learn would go more in the teritory of ASI (Artificial Super Inteligence), since its not about generalizing anymore, but its more about continous self-improvment and refinment, wich can not rlly be done without something extremly close to AGI (Due to hallucinations). The definition of AGI is neither something wich can do every task a human can, since this would not help the ai generalize, it would only make the AI better in specific tasks (But a large spectrum of tasks), but it would not genaralize beyond, this creating only a helpfull ai system wich can help with automating daily tasks, but not AGI or ASI (Being able to do any tasks as well as a human is a benefit of AGI or ASI). We are at max 6 years untill AGI or beyond, best case 1-2 years.