It would be very helpful to be able to take the map symbology of a hosted feature layer and use the same symbology when editing the hosted feature layer in an ArcGIS Online Map.
For example: I have a hosted feature layer that will allow the public to add a point to an ArcGIS Online map. This hosted feature layer is symbolized as a pushpin, however when you click on the edit button in ArcGIS Online the hosted feature layer's symbology changes back to the default symbology which is a red circle.
Having the ability to match the hosted feature layer's map symbology to the edit symbology would clear up any confusion by the user.
Also, having the ability to change the name of the hosted feature layer's name in the edit panel in ArcGIS Online would provide clearer communication to the user of the map.