I don't know anybody that used AGI to mean that. I've always thought of AGI as an AI that can learn how to perform tasks with very simple instructions, rather than spending weeks training a neural network on a data center full of GPGPUs.
Basically, my idea of AGI has always been what you're calling the "new" definition of AGI.
I could catch fish since a fairly early age, mostly because I enjoyed it.
At about age 12 I used to drive stolen cars around without any training at all except observation.
It too me decades to become a corporate robot though :)
I think training is a weird word, life is an experience, not just training. I think your comment demonstrated the limitations of language to describe things.
People think newborn babies know nothing. But even from birth, there are certain instincts and skills they already know, such as the ability to recognize faces.
Heck, our ability to think, analyze, etc. has come from hundreds of thousands of years of evolution. Even dogs, which we consider to be intelligent, often fail at simple tasks like trying to bring a stick through a doorway when the stick is wider than the doorway. Sure, sometimes they figure it out, but not all can.