The flat sectors aren't flat because nobody tried. They're flat because three forces show up there at once, and better technology can't clear away any of them.
Here's the tell. If the work can't improve without moving a body, the sector won't speed up no matter how good the technology gets.
The first force is a human you can't remove. Some work is a person in a place, and the person is the whole point. You can't automate what happens between a teacher and a student, and you can't take the patient out of the surgery. This is where the easy objection falls apart. Farming is just as physical, and it got far more productive, because one machine can do the work of a hundred field hands and the crop doesn't care who brought it in. Shipping did the same once the container automated the dock, and the cost of moving goods across an ocean fell through the floor. Both are still physical. Both are still regulated. They sped up anyway, because the body in the middle could be removed. A classroom, an operating room or a loading dock can't. The point isn't that physical work can never improve. It's that the work you can't take the human out of is the work that gets left behind... and that human is exactly who the plan was supposed to serve.
The second is no real competition. When a sector has few buyers, few sellers or no easy way to switch, nothing forces the floor to change. The plan can look better every year because nobody pays a price for the gap between the plan and the work.
The third is too many rules. Some of the most stuck numbers on this page are stuck for human reasons, not physical ones. A subway tunnel is the same engineering in Madrid as in Manhattan, and Madrid builds it for a fraction of the price. Mine approvals and hospital paperwork aren't slow because of gravity. They're slow because the rules piled up faster than anyone cleared them.
Payments is the exception that proves it. Moving money is pure information, with no body to carry anywhere, and it still froze. Losing the body only buys a sector the chance to speed up. Captured pipes and old rules can stall even a thing with no floor to cross.
The truly frozen sectors carry all three at once, starting with a human nobody can remove. Construction is physical, has little competition in any given town and is buried in permits. Healthcare is a body in a room, the only game in many markets and one of the most regulated industries there is. The forces stack, and technology slides right off all three.
So the stall isn't the floor's fault. The plans kept treating the most human work as if it were a screen to be upgraded, and no new software has ever fixed something that needed a person to be there.
The floor was never the friction. It was the point.