Solution: stop measuring stuff?
Height is a good measurement because it is standardized and objective: I stand on my heels, fully erect, adjacent to a ruler. The marking parallel with the top of my head is my height.
What we should be doing is trying to bring grading to a similar level of objectivity and standardization, not throwing it away completely.
It really depends what role marks play. If they are used exclusively as a guide to the student of how much they are absorbing, then they could be useful because people would have no incentive to game them.
If people are standing on their toes in a height test (perhaps because Princeton Review told them to), the problem is not the use of standardized inches. The problem is that we aren't forcing people to stand on their heels. And even a bad test isn't useless; most people on their toes are shorter than me on my heels, and the bad height test will reflect this.
(1) Even though there is no official inter-university standard calc test, they are pretty much all the same.