It does, but the main reason is that the 3.5mm output uses only one of the two DACs, while the 2.5mm uses both.
For the same headphones (ex : HD58x), it roughly cuts the battery life in half.
5K has a 500mA Li-Polymer Battery. Manufacturer: VDL (http://www.gdvdl.com/) Please note that the battery times may differ across each use case. The battery time varies across the codec, sample rate, power profile, and output mode. The sensitivity of the earphones/headphones and the output...
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So the TLDR is : if the 3.5mm output is enough (take into account negative pre-gain if you EQ), try to favour it over the 2.5mm output if you want to use it on battery.