Your certainly entitled to believe what you want.
However, words mean things.
When you call Mary, the Mother of God, the implication is she is the mother of the Father and the Holy Spirit. It also gives the meaning God had a beginning. Neither of which are supported by Scripture.
I do not consider these "cheap debating points".
To correct a false doctrine is not a cheap debate point. Nor is calling out how Islam and Mormonism redefine terms to suit their needs, much as the catholic does with this issue, an apples and oranges comparison.
It either lines up with the Word or it doesn't.
The title, "Mother of God", is not supported by Scripture as much as the catholic wants it to be.
And the title of Mary as Mother of God means only that she is the mother of the one person Jesus Christ who is God.