If we track the capability of computation machines from binary adders through old-school chess AI, expert systems and robotics, to the neural networks playing Go, chess, Starcraft, DOTA, we see an ever expanding sphere of ability and influence - often exceeding what humans predicted was impossible for computers.
> Of course, you can always say there is a yet undiscovered algorithm to fill the gap between state of the art and human performance
This implies a kind of asymptotic approach towards human intelligence, that it's something we keep trying to approach but will never reach.
But beyond "filling the gap" I believe computers have the potential to shoot past us in ability. And if they do, I think it's going to be a pretty shocking experience, because I think the rate of increase in intelligence at that point is going to be bigger than we expect - there's no reason to believe the exact level of intelligence is a special border, objectively speaking.
To claim that the evidence so far supports the uncomputable mind hypothesis seems to me like if we had managed to build tiny motors which had been getting bigger and better each year, and then claiming that we would never be able to beat an elephant in strength because no motor up to that point had yet been able to do so. Yes, our metaphorical motors are still tiny, and yes, it takes other extra pieces of engineering beyond motors to actually push down a tree, and indeed it's possible we will perhaps never build a big enough machine. But to take each larger motor as somehow being evidence AGAINST us ever getting to that point is a strange viewpoint.