You are correct. The workers vs the nerds. Anyone who has worked to create any material thing with their hands will know how natural fractions are. All they need to do is to fold a piece of paper in 1/2!
In the spirit of 'can't we all get along', I propose a hybrid system that we will call fractional metrics. We will use standard metric terms but with fractional components eg 22 2/3 kilometers or 1/5 centimeter and so on. (flame away!)
That fractional system sounds half-baked.