Before revision:  Moreover, we derive an energy accuracy tradeoff for such general non-equilibrium receptors when the estimation is performed by a simple observer of the duration the receptor is bound. Our tradeoff reveals that the simple observer can only attain the performance of the ideal observer in the limit of large receptor energy consumption and size.
After revision:  Moreover, we derive an energy accuracy tradeoff for such general non-equilibrium receptors when the estimation is performed by a simple observer of the duration the receptor is in signaling states. This tradeoff reveals that the simple observer can only attain the performance of the ideal observer in the limit of large receptor energy consumption and size.