The warpage is from different cooling rates in the thin and thick sections.
The slower the part cools, the higher the level of crystallinity in the semi crystalline matrix of the material.
Higher crystalinity means higher shrinkage.
You could try a hotter mould so that the thin parts also crystallise more.
If possible, you might try to heat the part of the mould in contact with the thin part, and cool the thick part, but that will be difficult if not impossible to achieve.
Polypropylene, the matrix material in Santoprene is prone to differential shrinkage due to direction of flow as well as differences in cooling.
Typically elastomer's are also quite sensitive to injection speed and pressure with regards to warpage. The right amount of sheer and pack can help. What is the right amount? I don't know. It seems to be trial and error and feel, otherwise known as a black art. Maybe someone else here has more experience with these specific materials.
Optional materials are EVA, Polyurethane, SEBS or Polyester block co-polymer elastomer's (Hytrel or Arnitel).
Regards
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