I like the thinking behind this post and I think it gives a good reason for reading old books. Upvoted.
But I don't know if you're quite right about nature. This study shows that being in nature provides various hard cognitive benefits. It makes evolutionary sense that we feel more at home in nature and more connected to ourselves there. Why should we be looking for more explanations of why people like nature than that?
I also don't think our views of nature are all that uncontaminated. Yes, there's the animal core of us that thinks "Oh, nature, I understand this." But that's overlaid by a lot of very culturally-determined feelings. In Western culture, the a certain idea of loving wild nature for its own sake really started with the Romantics, and then went through people like Muir to come down to us as various ideas like romanticism, environmentalism, hippie-ism, wilderness sports, and the like. Those counterbalance a whole bunch of other ideas including a medieval Christian/Protestant distrust of wilderness, a Randist "bulldoze it to construct something profitable" ethic, and a whole bunch of other things. I doubt a hippie and an Objectivist would see a waterfall the same way any more than they'd see a strip mall the same way.
I do think everyone including the Objectivist would have a certain biological core set of preprogrammed responses to nature, but I don't know if that's what you're saying.
If people just plain like nature, that alone is a good reason for there to be nature. That's true for just about anything (that doesn't harm others). The question is whether nature is deserving of some special status or protection (maybe nothing is deserving on such protection and there should be only as much of it as arises under free markets, but that's another argument). I certainly didn't mean to suggest that nature is a world completely apart and that we bring none of our baggage with us when we enter it. But I do think that I can be more relaxed and...
People have always had a religious or quasi-religious reverence for nature. In modern times, some people have started to see nature more as an enemy to be conquered than as a god to be worshiped. Such people point out that uncontrolled nature causes a tremendous amount of human suffering (to say nothing of all the misery that it causes other creatures), and that vast improvements to human welfare have largely been the result of us ceasing to love and fear nature and starting to control it.
There are several common responses to this. One response is that it is solipsistic for humans to measure the value of nature in terms of what is and is not good for us. This strikes me as right only insofar as it ignores the welfare of non-human creatures who have enough going on in terms of consciousness and/or sentience to matter; I think the objection would be without merit if one were to broaden the scope of concern to something like all creatures, present and future, capable of having experiences (who else is there to care about?). A second response is that seeing ourselves as highly effective lords over nature leads to dangerous overconfidence, which leads to costly mistakes in how we deal with nature. This is a very fair point, but what it really amounts to is a claim that we shouldn't underestimate the enemy, not that the enemy is really a friend. Anyway, the solution to that problem is to become better rationalists and get better at being skeptical regarding our powers, not to retreat into quasi-mystical Gaia worship. A third response is that getting into a "conquer nature" frame of mind puts people into a "conquer everything" frame of mind and leads to aggression against other people. This might have merit historically, but that problem is also best confronted directly, in this case by more effectively promulgating liberal humanistic values.
So what, if anything, is left to the idea that there is something special about nature worthy of particular regard? And by special I mean something beyond the fact that many people just plain enjoy it the way they enjoy lots of other things that nevertheless have no claim to any special status. I would say that the main thing that makes nature special in this sense is that when you are in nature or contemplating nature, you can be confident that the resulting thoughts and feelings are uncontaminated by all of the (visible and invisible) ideas and biases and assumptions that are present in your particular time and place. When you look at a waterfall and you like it, you can be pretty sure that: (i) it wasn't put there by anyone with an agenda; (ii) you weren't manipulated into liking it by contemporary ideology or social pressure or persuasive advertising or whatever; and (iii) the thoughts that you think while contemplating it aren't the thoughts anyone is trying to lead you into. In other words, nature is a way of guaranteeing that there is a little corner of experience that we are instinctively drawn to and that we can be confident doesn't represent anyone else's attempt to control us. And since other people are trying to control us all the time, even in relatively free societies (all the more so in oppressive ones), this is of real value.
I think the same basic point applies to some other things besides nature. Why do people still read old books* even when the knowledge in them has been refined and improved-upon in the meantime? In many subjects, we don't. Nobody learns geometry by reading Euclid, because there would be no point. But people do still read ancient works of philosophy. It seems to me that one good reason to do so is that for all the ways that these works have been analyzed and surpassed in the intervening years, the reader can be sure that what is written there is not the product of manipulation by the forces that are at work in the reader's own time and place. So it represents another way to gain valuable freedom and distance.
*Here I'm talking about non-fiction books. The merits of old creative works even when the innovations in them have become widespread in newer works is a different story. Often a point like the one in this post still applies, and sometimes the old stuff really is still just the best.