I don't think Buddhism does espouse interrelatedness and interconnectedness in such a way.
Your story of the origin of the grape isn't what I'd expect to be aware of when I eat a grape.
A story like that is useful sometimes for teaching that things have no independent existence: without sun, no grape; without seedling, no grape; without soil, no grape; and without this body and this moment and hunger, no experience of grape; etc. Therefore grape is precarious, impermanent, and shouldn't be relied on to be permanently satisfactory. I don't know how many of those stories (about different things) you need to tell yourself before you generalize it to the realization that everything is "conditioned".
Another way in which interconnected is used is in the sense of "no self". The Dalai Lama said he would be "imprisoning" himself, if he were to think of himself as "Buddhist, Dalai Lama, Nobel Prize Winner, etc." and that instead he prefers to think of himself as being "just like everyone else".
There is some other interconnectedness too, for example how you behave towards other people (e.g. whether you're kind or angry) allegedly has an effect on yourself (but I think that's an interconnectedness within you).
However in this answer I mention that Christopher Titmuss writes explicitly that the Buddha didn't teach that "oneness is the ultimate reality".
However, this source says,
In my fairly extensive reading of the Pali canon (not to mention Mahayana Sutras) I don’t recall the Buddha ever talking about our “separateness.” It’s a popular topic of discourse in modern Buddhist writing (I’ve written about it myself in Living as a River) but the Buddha just didn’t use that language (or if he did, it’s not been recorded). He talked a lot about misery, but he talked of the origins of misery lying in greed, hatred, and delusion. Now I know you can interpret greed, hatred, and delusion in terms of separateness (again, I’ve done so) but the point is that the Buddha didn’t use that language.
So if I say that "Buddhism doesn't espouse interrelatedness and interconnectedness" then perhaps I'm wrong: perhaps that is "a popular topic of discourse in modern Buddhist writing", even if "the Buddha didn’t use that language".