Is there a term for extra-far farsightedness?
Hyperopia is usually described (broadly or vaguely, I'm not sure) as inability to focus up close combined with "usually" being able to focus well at infinity except in extreme cases. To me this seems synonymous with (usually) good eye chart performance and poor accommodation. Or does "usually" focusing well at infinity actually mean focusing barely acceptably, erring on the far side? Is there an unambiguous term for inability to focus well at any distance with no exceptions, always requiring a +diopter correction at infinity?
Al: Thanks for a fine answer with excellent references.
If the opticians, optometrists and oculists are partying, they're not talking with each other much. Among your references, the 3rd one says hyperopia "in extreme cases" prevents focusing at distance, and the 2nd one says (unconditionally), "The hyperopic person cannot see clearly up close or at distance."
Actually both are sort of right, but only the 1st ref. makes it clear why. Hyperopia is a condition of the focusing power of the cornea plus lens and/or the eyeball size/shape (and the dependent parameter, the distance from the front of the eye to the retina). The <relaxed> eye focuses the image behind the retina, always. Whether or not the hyperopic person ("hyperope") sees clearly at distance thus depends on that person's accommodation and the severity of the hyperopia. (more)
With or without good distance vision, accommodating, or trying to accommodate, for most of one's waking hours tends to accumulate effects of strain including head and/or eye ache and vision quirks. So doubtless some hyperopes will relax the eye and accept poorer vision to avoid these effects. Since accommodation power tends to decrease with age, it's generally more difficult for older people to deal with hyperopia without correction.
Problems with accommodation only (not eye geometry-related) are called presbyopia.
I'm going to extend the question a few more days just in case someone comes up with the word for hyperopia that can't be corrected by one's accommodation. But now that you've helped me clear up the concepts I'm not expecting it.