Even hunter-gatherers have HUGE impact on the environment. They often set fires to clear underbrush in forests (making hunting easier) or wildfires in grasslands to drive herds of animals (again for hunting). They move around and introduce new plants, they divert streams, they drain swamps, etc, etc. pre-industrial man was responsible for the extinction of dozens (if not more) species. The idea that man's impact on nature is recent is laughable. We have been shaping our environment for tens of thousands of years.
Thing is, other animals do this too. The canonical example is beavers and their dams. But recent detailed study of ecosystems have shown that the impact of wolves is astounding. The same is probably true for most other species.
There is no "balance of nature". Nature is dynamic and ever changing. Man is a part of that dynamic. Our advantage is that we are aware of our impact and can manage it.
Wealth from industrialization allows societies to take steps to clean up previous damage. The rivers and lakes of wealthy nations are cleaner now than at any time in the last 100 years. The US and western europe have more forest cover now than in 1900. The air is MUCH cleaner too. All that requires the wealth that industrialization brings. Poor people are simply too worried about feeding their children to demand that there are pretty forests and parks to go camping in.