If the chemical fuel can work in a fuel cell, then where it's relevant (high latitudes in winter), you can get 100% efficiency in the chemical->used energy step by using the fuel cell for heating.
The electricity->fuel step struggles to heat 50%, which is not a deal breaker compared to other sources.
The electricity->fuel step struggles to heat 50%, which is not a deal breaker compared to other sources.
The hard bit is storing hydrogen.