Most of the time corporations claim to be doing something in a carbon-neutral way it's because they are purchasing offsets where you just have to believe that they are actually computing the carbon costs appropriately and the offsets are "real" anyway.
There's a place where I always uncheck "include utensils" and they always give me 8 people's worth of them anyways.
A slight rewording of your point highlights the opportunity: change happens when business and environmental needs align. This means, the people's best (only) play is to craft policies and institutions that align business incentives with environmental goals (e.g. emission cap 'n trade, grants, etc.). For example, a central repository of public holistic impact assessments could force PR teams to focus on real impact over trivial greenwashing campaigns.
While the national level gets the most focus, local/state governments can move move faster and serve as models for larger change.
Our leaders know full well that consumers and corporations have no power to act on this themselves. They will suck up any resources presented to them in the lowest energy configuration. Capitalism demands it. Regulation and governance is the only solution to tragedy of the commons. All else is noise being created by leaders who have been bought and paid for.
It is for this reason that you will never find anything that makes sense advertised as green or efficient. Corporations are things that exist solely to exploit: nothing in their core impulses moves them to be kind or understanding. Anything that makes it seem otherwise must be regarded with suspicion.