How to have a Voronoï effect without loosing original shape

Exactly! You can Link this with the thickness by a driver:

  1. Expose the offset scale to the Genodes Input:

  2. Copy the thickness as a driver
    image

  3. and paste it to the Geonodes Input:

Now the two values are linked and controlled from the Thickness.

There may be some problems with the mesh at the top:

which you can solve my moving the vertices in edit mode a bit downwards
shrinkwrap with thickness_2.blend (111.3 KB)

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