Can a cotton doll have a name if it has no attributes?

Yes.

The birth certificate of the non-attributed baby you bought has your own name on it, and you can give it a new one yourself.

Cotton dolls refer to dolls whose main bodies are made of cotton. They originated from South Korea, where the rice circle culture is prevalent. The economic company cartoonizes the image of the entertainment star and makes it into a cotton doll with a height of about 10-20 centimeters, which is circulated to the fan base in the form of official peripherals.