Hello Aris,
The settings you define in the Dynamic Subdivision palette will only apply to the mesh if you view them with Dynamic Subdivision active, or convert them to geometry with the “apply” function in the Dynamic Subdivision palette. If subdividing the mesh traditionally, it’s all or nothing–the edge is either creased or it isn’t. In this scenario, the softness of the edges can be controlled with the Tool> Geometry> Crease level slider, which basically determines how many subdivision levels the creasing will be present for. If you set this to a low value, the mesh will be subdivided for a few levels as if the edges are creased, and then further levels will be subdivided with no creasing, resulting in a softening of the edges.
Neither approach will do what you want to here. To vary the softness of the edge along a line, you will have to model that geometry. Note that two edges very close together on a mesh functionally act as a crease when the mesh is subdivided (or previewed with dynamic subdivision). So you would model the topology so that a pair of edges are very far apart where you want little or no creasing, and then converge as you want the crease to sharpen.
Good luck!