What people want isn’t code - they want computers to do stuff for them. It just happens that right now, code is the best way you can do it.
The paradigm WILL change. It’s really just a matter of when. I think the point you make that these are problems of DEGREE, not problems of KIND is very important. It’s plausible, now it’s just optimization, and we know how that goes and have plenty of history to prove we consistently underestimate the degree to which computation can get faster and cheaper.
Really cool experiment!