I don't know why you posted that- I see no question. I would, in any case, disagree with most of what you said. "x= x(t), y= y(t)" does NOT define a "space curve", it defines a "plane curve". Space requires three dimensions: x= x(t), y= y(t), z= z(t). And we cannot create even a plane curve by just assigning "1 to a distance". You must have an entire coordinate system. In addition to distance you need to establish two distances as coordinate axes. (If we agree to use only "right hand Cartesian coordinate systems", an serious restriction for some purposes, we would only need to designate a single axis.)
And I don't understand why requiring people to "create some kind of real meaning" would tend to cull precisely those who "tend to think about the physical meaning". I would think that those who thought about such things would be best at assigning physical meaning to symbols, definitions, etc.
I wonder if you aren't referring to people who consider "physical meanings" so apparent they don't have to learn precise statements of definitions, rules, etc. But I would not call them "potential engineers', I would call them "sloppy engineers" and hope they will not be designing any bridges, railroads, etc. in an area where I might be.