Harry,
I do not know how else to explain it. I would suggest that you think about it in terms of velocities rather than slip forces. You have not said what you mean by slipping force when you talk about upward or downward forces. You have to specify whether you mean the force on the belt or the force on the pulley, these are equal and opposite.
Here is another way to think of it. When you have slip the the tendency of the system will be to eliminate that slip, in this case that means matching the velocities of belt and pulley which is achieved by point 2 trying to move to the top of the crown.
PS. My first paragraph assumes that your reference to up and down refers to my drawing and not laterally on the pulley.

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