I just had a random thought and was hoping some of your could weigh in with your thoughts. Assuming you're using the same set of cans or IEMs with a portable headphone amp that has a gain switch, would the battery life of the amp differ between having the gain set to high but the volume lower...

I'm downsizing my workout carry and have decided that my S4 + DAC/Amp is too large. As such, I'm looking for a small sized DAP to listen to while working out. I'm looking at the Sandisk Clip Sport + Fiio E6 right now but I would like to consider all options before making a decision so I'm open...