No, and that statement doesn't make sense. The CRT's native resolution has nothing to do with screen size. It is a physical limitation of display ability dependent on the monitors technology and absolute minimum pixel size offered. It only really makes sense anymore with LCD's, CRT technology has become so much sharper over the last 10-15 yrs that "native resolution" has become a marrketing term.
Now as to why people don't like 19" CRT's that's a very seperate kettle of fish. As I went LCD, I can't help there.