Yes, their powers align with emotions. However, instead of eating them, they manipulate them. Flutterlings either have
Absolute Empathy: The ability to sense and understand the emotions and intentions of others at an intense and profound level or Persuasive Empathy: The ability to influence and manipulate the emotions and thoughts of others, persuading them to align with the character's desires or change their perspectives. Sometimes they have both, the Flutterlings usually have horns and fairy/butterfly wings, but due to mixed breeding, it can change, take the Flutterlings image from above. She's a mix of flutterling and batpony, hence why she has fangs and fluffy legs