Is fragrance free moisturizer really important for dry skin?

Yes, especially if your dry skin is also sensitive or prone to eczema. Fragrances both synthetic and natural are among the most common causes of contact dermatitis and can further compromise an already weakened skin barrier. The National Eczema Association recommends fragrance free products for anyone with dry or reactive skin. Note that "unscented" is not the same as "fragrance free" unscented products may contain masking fragrances.