I think the hardness change at elevated temperatures will be at least somewhat dependent on the polymer and the formulation. If the room temperature hardness is influenced by polymer crystallinity (for high ethylene EPDMs, for example) or crystalline resins (e.g., high styrene resins), the reduction in hardness at elevated temperatures will be more than if the hardness at RT was obtained by filler or crosslinking.
I haven't done elevated temp hardness testing in a while, but we just used to put a (gloved) hand with a hand-held durometer in the oven for the quick hardness tests.