Hello Derek, I've been answering this question at your and others' request in other forum threads for several years now. I am still seeing requests from users in all these threads asking for the return of the state lineage tree.
Actually, if one is lucky enough to be using a machine that had previously had 10.0 installed on it, it is still available. I am grateful to have a machine with 10.3 that retains its ability to view the state tree diagram. As new folks learn ArcSDE who have never seen this tool, they simply do not know what they are missing, but those of us who has used it, know the tables and lists in the new admin UI do not convey the same information.
The state tree/versioning lineage diagram is the best way to convey the relationships between versions. Even esri-sponsored writings, such as bug reports know this, and use a form of it in conveying information related to ArcSDE versioning. Please empower us customers by letting us know what is the most effective way to bring back an effective and powerful troubleshooting, monitoring, and teaching tool. Thanks, Clara