Yes, the simpler versions of your argument is that the article is basically stating that "human level intelligence is mathematically impossible" (to stick with that fuzzy definition of AGI). Which is of course easily refuted by the fact that humans actually exist and write papers like that. So, the math or its underlying assumptions must be wrong in some way. Intelligent beings existing and AGI being impossible cannot both be true. It's clearly logically wrong and you don't need to be a mathematician to spot the gigantic paradox here.

The rest is just a lot of nit picking and what not for very specific ways to do AGI, very specific definitions of what AGI is, is not, should be, should not be. Etc. Just a lot of people shouting "you're wrong!" at each other for very narrow definitions of what it means to be right. I think that's fundamentally boring.

What it boils down to me is that by figuring out how our own intelligence works, we might stumble upon a path to AGI. And it's not a given that that would be the only path either. At least there appear to be several independently evolved species that exhibit some signs of being intelligent (other than ourselves).