That is just a widespread analogy we use. The human brain is not a computer, although obviously some aspects of its function resemble the logical / mathematical model of a computer, which (I gently remind you) is a construction of the brain itself.
> it seems plausible that there's a future where such a distinction is either not meaningful, or perhaps even skewed against humanity.
I would not dispute that at all. The future of humanity is hopefully long and full of wondrous discoveries but arguing that we are "close" to "real AI" flies in the face of what is actually achieved on the ground with current approaches: clever utilization (where the one who is clever is the human) of rather limited algorithms to re-use productively the vast body of human generated information corpus.
Not a useless exercise by any measure, but the mantle under which it is sold does not augur well for the sustainability of those efforts.