There is a significant difference between presbyopia and hyperopia.
Hyperopia means, essentially, an eye with a refractive power too weak for its axial length, or the length from front-to-back (cornea to retina.)
Presbyopia means the lens becomes stiffer and less elastic with age, and is therefore unable to change focusing power. We need the greatest focusing power for close-up work; therefore presbyopia doesn’t affect distance vision at all – unless you are the sort of person who uses your lens to compensate for a lack of refractive power in the eye – as many young hyperopes do. So presbyopia has a very unfortunate affect on hyperopes, who now find that, without classes, they can’t see clearly at distance or near. (People with astigmatism of sufficient refractive error suffer the same problem.)
Does it happen to everyone? Yes and no. Everyone loses elasticity of the lens. Some people are not bothered by this to the same extent as others, for a variety of reasons – small pupil size can act as a “pinhole” effect and increase clarity at distance and near, for example, enabling some elderly people to read print (so long as it isn’t too small) without reading glasses.
In pseudotron ruber ruber’s case, a few things might be happening, and it would be impossible to tell without giving him an eye exam. One possibility is that one eye is more myopic (nearsighted) than the other. Sometimes people choose to have that situation created artificially with contact lenses, known as monovision. In that case, he might be using one eye for distance and one for near.
The other possibility is he’s slightly nearsighted in both eyes to begin with – if he can drive without glasses, he probably has vision better than 20/40 (this is true in most, but not all, states.) So maybe he’s slightly myopic, has become accustomed to slight blur in the distance, and uses a combination of slight myopia and the remaining accommodative power of a 57 year old (not much) to be able to see the computer (which generally requires a working distance further away than reading material, and hence less accommodation/refractive power.) If he is, say, a -1.00 myope, and can still accommodate half a diopter with ease, he has an effective +1.50 add for computer use, which is sufficient – but not sufficient to read the smallest print at a closer working distance. Just my guess.
Sorry if any of that is confusing. There’s a reason I had to take coursework in this stuff…