The difference isn’t just in the name, but also in the style.
Rosé (France) — light, delicate, often with floral notes.
Rosato (Italy) — fuller-bodied, with more structure and sometimes noticeable acidity.
Rosado (Spain) — brighter in flavor, often fruity and more intense.
In short:
France is about elegance, Italy is about balance, Spain is about character.