The Short Version
The available evidence does not substantiate that a study "published on ScienceDirect" categorized university responses to generative AI into encouragement-vs-discouragement quadrants. The only sources describing such a quadrant framework are arXiv entries with suspicious placeholder URLs and no verifiable ScienceDirect bibliographic record. Multiple higher-authority sources on university AI policies and ScienceDirect-indexed materials make no mention of this framework, and background knowledge explicitly disputes its existence as a recognized ScienceDirect publication.