In ArcGIS Pro add "World Topographic (for Export)" - The vector tile layer (mouse hover over the search result to confirm its type is vector tile layer), to an empty map.
Search ArcGIS online and add it.
To download at fullscale 1:283 you will need to download in two parts.
Zoom in just far enough to be offered 1:283 in the map download button
Download the map - This will add a layer to your map that references a .vtpk file download to your computer.
Pan your map and do this again to get the rest of New Zealand.
You will get something like this.
note the vector tiles will add up to 350 mb +- in file size at 1:253 scale.
If you also want the hillshade to go along with it, that will be additional file size depending on desired resolution.
In a new map add Terrain Multi Directional Hillshade from the Living Atlas.
Zoom the Map to your desired extent.
Right Click on the Map in the Contents - click Properties and set the Extent (Use a custom extent) and set to current visible extent.
Next use the "Create Map Tile Package" geoprocessing tool to create a Tile Package (TPKX) of the hillshade content.
Level of Detail 11 for the pictured extent results in a 90 mb tpkx file.
RIght click on the Map Tile Package layer that you created and copy it to your clipboard.
Paste this layer into the map with your Vector Tile Layers.
Next in the Project Pane convert the map to a BaseMap
Then Create a New Map and select your basemap from the basemap gallery.
Add other content to the Map and use Create Mobile Map Package to create the .MMPK
Note: the vector data and reference labels are in the same layer, added layers will appear on top of the labels.
Since the above steps are using Vector Tiles, the map will not be blurry and you will crisp detail when zoomed in.