It is indeed a very popular name in the Netherlands, but I don't believe that's because of the Croatian diminutive for Maria. It is the Latin word for sea, as well as just a Dutch diminutive for Maria.
The name "Mare" means "God's Princess". The meaning of this name originates from the rural prairieland of the midwestern United States. The meaning was created by one woman who had a vision of being a literal Princess in God's eyes.