ML in general is just applied statistics. That's not going to get you to AGI.
Deep Learning is just hand-crafted algorithms for very specific tasks, like computer vision, highy parameterised and tuned using a simple metaheuristic.
All we've done is achieve the "preprocessing" step of extracting features automatically from some raw data. It's super-impressive because we're so early in the development of Computing, but we are absolutely nowhere near AGI. We don't even have any insights as to where to begin to create intelligence rather than these preprocessing steps. Neuroscience doesn't even understand the basics of how a neuron works, but we do know that neurons are massively more complex than the trivial processing units used in Deep Learning.
Taking the other side for a moment, even if we're say 500 or 1000 years out (I'd guess < 500) to AGI, you could argue that such a period is the blink of an eye on the evolutionary scale, so discussion is fine but let's not lose any sleep over it just yet.
What I find most frustrating about this debate is that a lot of people are once again massively overselling ML/DL, and that's going to cause disappointment and funding problems in the future. Industry and academia are both to blame, and it's this kind of nonsense that holds science back.