I agree that this is a generalization problem. I just don't believe that this particular way of describing it is helpful. If you'll allow me an apocryphal example, when Newton saw the apple fall, if he had generalized to "all things from apple trees fall at the same rate", he would have been correct for a while, then ludicrously incorrect once the leaves started blowing off in Autumn. If at that point he had tried to figure out exactly what kind of tree produces this gravity thing, or which parts of trees, we wouldn't be any further along than we were before.
Generalizations work along multiple axes. With some degree of imprecision, every experiment can be a success (or failure). This is why we have the scientific method in the first place.
Now, perhaps you're making the argument that this is somehow, for lack of a better term, half-science. It's not right, but it's not wrong either. It's truthy. The logical follow-up would be: ok, where is the second half? In this and many other cases there is no second half. Papers were published, people received awards, wrote books, became famous, and lots of other folks used their work. So even if somehow this is better than nothing, in practice I'm not seeing it.