The Simons Observatory aims to field 70,000 Transition-Edge Sensor (TES) bolometers to measure the Cosmic Microwave Background. With so many detectors, rapid but accurate validation of their properties prior to their integration into telescopes is of particular importance. This paper describes an exploration of a new method to improve the simultaneous characterization of TES thermal parameters and bolometer optical efficiencies without significantly increasing the data collection time. The paper uses a special-purpose data set comprising current-voltage (IV) curves collected from thousands of TES bolometers with a variety of different average bath temperatures and different cold load temperatures. A subset of the bolometers were masked so they received no optical power. The new method fits data from the bath temperature ramp and cold load temperature ramps together as one set instead of fitting each independently. This enables thermal parameter assessment of the unmasked detectors without performing additional cooldowns of the cryostat, halving the time necessary to obtain thermal characterization of all detectors.