1. Esri, ArcGIS Enterprise Documentation, "Map caching strategies": "If your map is slow to draw, you can improve its performance by caching it. A map cache is a set of prerendered map images (tiles) that are stored on the server... When a user requests a map, the server can return these tiles instead of drawing the map." This directly supports using caching to solve slow drawing performance.
2. Esri, ArcGIS Enterprise Documentation, "When to create a map cache": "A map cache is most appropriate for maps that contain relatively static data and are targeted for a variety of users... Another sign that you should cache your map is if it contains a large amount of data or complex symbology that is slow to draw dynamically." This aligns perfectly with the scenario of complex polygons performing slowly.
3. Esri, ArcGIS Pro Documentation, "Analyze Datasets (Data Management)": "The Analyze Datasets tool is used to update database statistics of business tables, feature classes, and delta tables, along with the statistics of their indexes. Up-to-date statistics help the database's query optimizer choose the most efficient execution plan for a query." This confirms the tool's purpose is to optimize queries, which are not the problem described.
4. Esri, ArcGIS Enterprise Documentation, "The compress operation and geodatabases": "The compress operation is used to maintain performance in a versioned geodatabase... The compress operation removes the unreferenced states and their associated delta table rows..." This reference confirms that compression is a maintenance task for versioned data, which is not the case in the question.