A declaration regarding the formulation of the cosmetic, not a promise to be completely odorless. Raw materials may have their own odor. It does not automatically mean a hypoallergenic product; the full list of ingredients and individual tolerance are important.
Recipe declaration and nose feel
This information concerns the way the recipe was developed: no substance was added to give it a scent in accordance with the scope of the manufacturer's declaration. The base raw materials may still have their own odor. Water, oils and extracts do not become completely imperceptible. It is worth distinguishing between no added perfume and ensuring that the product will never cause a reaction. These are different features and one cannot be inferred solely from the other.
The lack of perfume does not eliminate the need to know the full composition. Raw materials may have many technological functions, and the name of the chemical group does not always reveal their role in a given recipe. If you are particularly sensitive, a specific declaration and your own tolerance are more important than a general marketing slogan.
Meaning and application
This declaration is about the method of building the formulation, not the promise of complete odorlessness. Cosmetic raw materials may have their own smell. Determine whether you are looking for a product that is aromatically neutral or whether you want to avoid a specific ingredient due to a known hypersensitivity.
In practice
Read the ingredients list and full explanation from the manufacturer. Do not replace the name on the front of the package with information about the entire product. When advised to avoid a specific substance, check it by name and, if unclear, ask the manufacturer or specialist.
Do not equate this information with a guarantee of the absence of allergies, preservatives or plant ingredients. It also does not mean that it can be used on every part of the body. Safety and intended use are assessed for the entire formulation and method of use.