A recent interview with a developer on Fire Emblem Echoes: Shadows of Valentia hinted at the ‘Fire Emblem Echoes’ moniker being used for future remakes in the series. The translated quote comes from the user Kirokan on the fan site Serenes Forest:
“We put a lot of thought into a title like “echoes” that can let older games “echo” with the modern players. We were very pleased with it, and, if there were to be more remakes, we would likely use the “ECHOES” title again.”
With plenty of other games in the Fire Emblem series to choose from, it definitely wouldn’t be surprising to see other remakes follow in the shoes of Shadows of Valentia.