Dear Editors, This paper is for the Special Issue for accepted papers from the NeSy 2024 conference. This is an extended paper, which includes additional visualizations, a new suite of experiments on synthetic graphs, and a rewritten narrative. We certify that it is not under review in any other venue. We note that we could not upload the PDF with all figures due to size restrictions, nor could we upload them as supplementary files. This results in a few broken Figure references for the visualizations. However, all visualizations are made available online through our repository, linked in the paper, and here: https://github.com/kastle-lab/kge-impact Thanks, Cogan Shimizu, on behalf of all authors.