There is no rule that says you must eat, drink, read, and/or bind wounds during a short rest, and no rule that says if you don't actually perform these tasks you don't get the benefit of a short rest.
That's bordering on the "Nothing says a dead character can't take actions!" level of missing the point.
A short rest isn't
just some game construct. It's a game construct which represents a definitive in-game reality. It represents that hour where you're not doing anything strenuous. And when you're not doing anything strenuous for an hour, you have time to do other things, like eat and tend to your wounds and recover spells. But the hour, alone, isn't enough to actually do all of those things; you need to
actually do those things, to gain the benefits of doing them.
If you have no food whatsoever, but you take a series of short and long rests, you still (eventually) die from starvation. If you need a medkit to spend hit dice (because you're using that option), and you're injured at the start of a period of downtime, you can't spend those hit dice if you don't have a medkit; you need to
actually tend to your wounds in order to gain that benefit. If you're a wizard and you want to recover spells by studying your spellbook, you can't do that if you don't have access to your spellbook, even if you rest for an hour; you actually need the spellbook there, and you need to be studying from it, in order to use that ability.
Meanwhile, there is a rule, quoted above, which states that if you do nothing more strenuous than those tasks then you gain the benefit of a short rest.
All short rests are a period of time, of at least a certain length, where you don't do anything too strenuous. It does
not follow that
all such periods of time are
necessarily short rests, in much the same way that all squares are rectangles but not all rectangles are squares. The phrase you quoted
describes a short rest, but is insufficient to
define it.
Or if you wanted to be super pedantic about, which is kind of the opposite of what 5E is supposed to be about, then you can say that an hour which just passed uneventfully
was a short rest... it was just a short rest where you didn't get to recover spells or spend Hit Dice or anything.