I mean, when they say they "honor" Mary instead of "worship"... then in what way they honor her?
many ways, actually.
1. They honor her as the Queen of Heaven.
2. They honor her as the Mother of God and Spouse of the Holy Spirit.
3. They honor her as the one who has power which wields over the one who is God.
4. They honor her as the Co-Redemptrix [also a Savior or Salvation depends on her, where Jesus, her Son needs a consent from her].
5. They honor her as the Mediatrix.
6. They honor her as the one who has an empire in which all things and creatures, God included, are subject to her.
These are facts identified with Catholic doctrines.