I think the urge to explore the landscape goes much farther back than the colonial period, which is a very recent blip in human history. The author should look back not to 200 years ago for the source of that instinct, but 20,000 years ago or more - and consider what wilderness might have looked like then.
We're violently in agreement, I think, inasmuch as we both find much obnoxious in the effects of human artifice as directed to modifying our environment. Where we differ is in the use of a special category "unnatural" to describe those effects we do not like. I don't argue that only the equation of "natural" with "desirable" is without value; I argue that "natural" is meaningless, as is its converse, and if we want to talk about desirability, we're better served to do so directly instead of confusing the issue with less precise concepts.
Speaking personally as a human, there are few other vertebrate animals on Earth that can remotely pose a serious threat to my freedom, provided I exercise common sense precautions. That's probably why I'm most concerned with the human modifications to the landscape. I am forced to heed them. I'm sure fish would see it differently, although they'd still encounter a lot fewer beaver dams than human obstructions.
See my other comment about how I would feel differently if beavers built dams across highways and shot people crossing them. I might be less inclined to treat beavers as a harmless part of the natural landscape then.
We can make the natural vs unnatural distinction because humans have at least a partial hegemony over all other species now. Not completely; clearly microbes and insects are still out of our control. If there were intelligent alien invaders that started building walls and bridges and cages, I'm sure we'd label those as "unnatural" and "artificial" too, whereas a beaver dam is a natural curiosity. If there were other rival intelligent species sharing the Earth and reshaping it to their own vision, they probably wouldn't fit into the nature category.
It marks a power dynamic, and it's an important distinction. Artificial structures are backed by the power of laws and property rights and other enforcement rules. That gives them a power beyond their material strength. Ants and beavers reshape the earth too, but the only thing stopping you from paving them over are objections by other humans. The other ants would hardly even retaliate.
Edit: I guess the core of my point is that if you want to include a pair of wire cutters in with your bug spray and bear whistle and other hiking gear, so that you can freely pass through chain-link fences, then maybe you will start to view those fences no differently than rocks and fallen logs, just another curious structure erected by another fascinating mammal. I, personally, would never feel so bold.
That aside, I agree with everything you've just said. The only point where we differ, I think, is that of whether the word "nature" and its allies make a useful shorthand for any of these concepts.
I think the points you've raised deserve more focused consideration than that. For example, I agree that it's far too easy and thus too common for people to forget that we do have a unique power over our environment, and to use that power in ways that do harm. I don't think that deserves to sneak past under so fuzzy and easily dismissible a term as "unnatural"; I think it deserves to be called out for exactly what it is.
That's a lot harder to do when we make a habit of glossing over such considerations with a shorthand like "nature". That's undesirable because these are the considerations that inform every decision we make about how we exist and behave in our environment, on scales as large as that of climate change and as small as what we do with our backyards, when we have those. Or, for that matter, whether we have those. None of this stuff is as simple or as abstract as "nature" makes it seem, and that's why I argue that "nature" fails to serve a useful purpose.
I think "nature" is our best way to express these important but nebulous concepts, but you think it hides those exact same concepts. We're probably both right -- it will depend what community we're in, and their understanding and interpretation of the word "nature".
Walls everywhere.
Obviously I don't object to fences being big, I object to them being impermeable. That's not just a problem for me and other humans; migtatory animals get seriously impacted by these long one-dimensional structures parcelling up the landscape as well. There have been proposals for landscaped bridges to link sides of highways to allow moose and other animals to cross, but the cost of doing that extensively is quite prohibitive.
By the way, I agree with your characterization of humans as being just like other animals. But if beavers were constructing hundred-kilometre-long barriers that blocked off our migratory routes (ie, roads and highways), and routinely shot or overran humans that attempted to cross them, then I think we'd consider beavers to be a serious problem too.
When your neighbour says she avoids putting chemicals in her food, do you cross your arms and say "even water is a chemical"? Or do you accept that her usage of the word points to a valid region in concept-space that isn't hard for you to understand, if you aren't hung op on dictionary definitions?
I wrote a cousin comment explaining why, despite the fact that humans are part of nature, there is a qualitative difference between human structures and beaver dams / coral reefs. It's not human bias, but human power and social structures that cause the difference. Or else, as I mentioned there, you're welcome to bring wire cutters with you on your hikes and treat fences the same way you treat other natural barriers.
This is also why, in a post apocalyptic movie, the decaying artifacts and skyscrapers of a lost society feel more like a natural landscape than artificial structures. It's because they lose the power structure that backs them.
Insisting on a useless definition of "natural" that encompasses literally every object in the universe just makes communication a chore.