Time-enabled capabilty and attribute table lost when published as Tiled Mapping Service

I initially published a feature class with a massive number of polygons with large vertices on ArcGIS Online as Feature Service. This feature class has been enabled Time-aware capability. When opened and viewed in Map Viewer, it drew unacceptably slowly but good thing is time was retained.

I was directed by some one on the SE-GIS to publish the feature class to Tiled Mapping Service instead of Feature Service. I did that; the features were drawn pretty fast but Time was lost and no attribute table was available. Is this a bug or time/attribute table just not supported by Tiled Mapping Services?