It’s a bit of a guess, but I think LDAC would use more battery than AAC, which is the default setting. LHDC would use even more than LDAC due to the codec’s high bitrate capabilities—the large data transfer over Bluetooth would deplete the battery. I would say using ANC would likely have a more significant impact on battery life, though.
With a fast charging time of 10 minutes, you can get 10 hours of playback, making it easy to prioritise sound quality over battery life in my view..