I don't think of it as making good writing work in academia. Good writing is an advantage in academia. Reviewers are more likely to accept your paper, and readers are more likely to read more.
Who ran the experiments? We ran the experiments. The experiments were not run. Who proved the theorem? We proved the theorem. We present. We conclude. Our analysis. It not only leads to better, simpler sentences, it's more accurate. We, as human beings who exist in this world, did these things.
Also, and this is more of a pet-peeve and may only be a practice from my particular community, but references are not nouns. "Betty White [6] already proved a version of this result" is good. "[6] already proved a version of this result" drives me batty.