@Haleth is correct, the terms technically rely on the eyes being in their relaxed state with emmetropia being in the middle
Without getting too technical, near-sighted (myopic) people can never make things far away clear without correction (things at optical infinity; 20+ feet away) but can see things up close without correction.
Far-sighted (hyperopic) people is a weird case because of the ability of the eyes to accommodate. They can see things far away because they can accommodate (essentially make their eyes add additional plus powered lenses by themselves). For their near work, they cannot read things up close COMPARED TO them wearing corrective lenses.
This can be the reason why a lot of kids are misdiagnosed at the school nurse or pediatrician’s office. They’ll be called “perfect” when they read the 20/20 line, but their eyes may be accommodating/straining like crazy to get there.