There are many scientific studies done on pulse charging of Lithium-Ion batteries. However, I have found nearly none on pulse-discharging those.
Here is probably one of the few-ones.
This study employs a well know effect of Lithium-Ion batteries to regenerate the voltage after the load was interrupted, thus dramatically increasing the specific energy (Wh/kg).
"Figure shows a Comparison between Constant Current and Pulse Discharge at 600 A/m. Constant Current discharge ends at about 2 s while pulsing results in a total on time of 16 s increasing the discharge capacity by 8 times."
It, obviously, won't give any benefit where the constant load is applied to a single battery, however, by distributing the constant load in pulse form within the battery pack should prolong its capacity as well as its lifetime greatly.
Besides the active control needed, I do not see any extra drawback of this approach.
Why didn't it become de-facto standard within the battery-powered device market?
I would really appreciate any reference documentation on this topic.