Photon-counting hybrid pixel detector chips, such as those based on the Medipix3RX technology, have been central to advancements in spectral and multi-dimensional imaging at synchrotron facilities. As these facilities continue to improve with ongoing upgrades, there is a growing demand for large-area cameras that not only handle increased X-ray flux performances but also integrate effectively into various scientific setups with minimal power consumption. This work focuses on optimizing the energy efficiency of Medipix3RX readout chips used in the context of large-area X-ray photon-counting detectors. We have introduced several power optimization techniques, including dynamic frequency and voltage scaling, and the incorporation of standby/sleep modes into sensor operation. These methods have significantly reduced power consumption, thereby allowing for simplified cooling systems and enhanced durability without compromising the robustness and reliability of the system. Experimental results demonstrate that applying dynamic voltage and frequency scaling can reduce power consumption by 5%, while the clock gating technique can reduce it by up to 23%. Furthermore, the implementation of a sleep mode during periods of inactivity reduces heat dissipation, improving sensor temperature stability, while also reducing overall energy requirements by up to 40% compared to continuous operation. A detailed characterization of the internal parameters of the Medipix3RX analog front-end has enabled us to identify optimal operating points that balance low power consumption with high performance, which is crucial for maintaining low noise levels and fast count rates in challenging experimental environments.