"My professor doesn't think this is bad. In fact he thinks it much more
important to follow the zero-sum model than being actively harmful to
the environment. But still he qualifies the zero-sum model as doing
nothing at all."
I basically agree.
I think it depends on how you want to define and apply a scale to what "doing something" means... individual vs. global. You are zeroed in on the individual side of things, but, as with your voting example, one individual bucking a trend does not affect the outcome. No matter how fervently I support the Dems this fall, the Republicans are still going to take the House of Representatives...
If you consider the aggregate of humanity and any of the major ecological worldwide trends, your professor is correct. Zero-sum models do nothing because reduction in resource consumption is not universally applied, nor will it be. About 3 billion people in India and China alone are increasing their living standards through increased energy and product consumption. That trend line is up and is not going to bend in the coming decades. Nor should it. There is no reason third world residents should not aspire to a more comfortable and modern life.
Plus, global population is increasing. Individual reductions are futile because humans are making more humans - mostly in the third world, which adds an exponential increase to the trend mentioned above. So in light of these two factors alone, the trajectory line you envision is reversed when applied to the globe.
If you would like to reduce reuse recycle for your own benefit, as an individual, that is certainly well and good. Your professor and I both agree here. But on the macro/policy scale, it rightly is not given much weight. Because it is not a solution.
I think your professor is correct in assuming that the only way humanity can reduce its impact on the environment in any appreciable way is through drastic innovation and systems change. The current major systems supporting modern society are not sustainable - well-intentioned reduction efforts notwithstanding. So, starting with renewable energy, zero impact (or very close to it) solutions have to be envisioned and implemented.
If in the distant future historians chronicle the makings of a greener society in the 21st century, they will not talk about "reduce, reuse, recycle." It will be much more radical than that.