No, it says they shall hate the whore. Again, notice the name is on her forehead. It does not mean she is the Mother, but has the Mothers mentality, or spirit.(whores forehead)
Revelation 17:5
And upon her forehead was a name written, Mystery, Babylon The Great, The Mother Of Harlots And Abominations Of The Earth."
This same sign is shown in God's true Church with a name written in their forehead, the Holy City and New Jerusalem in Revelation 3:12
Him that overcometh will I make a pillar in the temple of my God, and he shall go no more out: and I will write upon him the name of my God, and the name of the city of my God, which is new Jerusalem, which cometh down out of heaven from my God: and I will write upon him my new name.
The whore they hate is the
Mother of harlots.
If you claim that the Mother represents all the unfaithful of the world, then you must think the 10 horns that hate her and make her desolate are not among the unfaithful.
But that's not what's going on.
The 10 horns are also unfaithful and do the bidding of the beast.
It is the unfaithful (10 horns of the beast) hating and desolating other unfaithful (the Mother of harlots).
And then you have more of the unfaithful mourning her desolation.
There is nothing about the 10 horns of the beast hating and desolating all the unfaithful.
The Mother of harlots represents only a particular sect of the unfaithful that the 10 horns of the beast hate and make desolate.
The Mother of harlots is not of the beast itself, but is a separate entity from the beast, and is only carried by the beast for a time.
The 10 horns are of the beast itself.
As the great and humble, John W., would say ...... "Details".