Here's a connundrum from the NHC... by definition, a Tropical Storm Warning is : An announcement that tropical storm conditions (sustained winds of 39 to 73 mph) are expected somewhere within the specified area within 36 hours.

The NHC expects a tropical cyclone to form within 48 hours. So, while it has never (to my knowledge) been done before, I do not see any reason NOT to go ahead and put up a tropical storm warning for the areas that are expected to be impacted by what would be Emily. To issue a statement that the warning may be needed with very short notice is a cop-out, even though there is zero precidence for issuance of a tropical storm watch/warning in the absense of a declared tropical cyclone.