Tiled layers spatial reference
Tiled layers are cached layers. At the time of caching, a spatial reference is used and is therefore predefined for the tiled layer. It is typically not possible to request tiled layers in a different spatial reference from the one defined in the service using that cache (unless the server supports doing this on the fly; most do not).
If an ArcGIS tiled layer is added to a map with a different spatial reference from the tiled layer, it cannot be drawn.