Ethylene sensitivity varies quite a bit across flowering ornamentals. Fuchsia, Hibiscus and Primula are all well documented in floriculture literature as highly sensitive to ethylene, often dropping flowers and buds even at very low concentrations of the gas.
Achimenes, by contrast, is comparatively tolerant and shows much less sensitivity to ethylene exposure during postharvest handling.
So among these four, Achimenes is the one that is less sensitive to ethylene.