Remember, it isn't just about power consumption, but how "spikey" the power consumption is. Lots of spikes creates induced noise (imagine the lights in your house when a heavy electrical load is turning on and off). Better power supplies mitigate this obviously (they can handle the spikes better), but better still if the design of the component doesn't have a huge amount of spikes in power consumption
This factor is what I believe limited the utility of optical transceivers for audio networks. You get electrical isolation with optical (awesome), but every time that laser fires to send light down the fiber you hav an electrical pulse (boo), When we were going through the huge list of optical transceivers looking for the best sounding ones, the best ones ended up being the lower power units. I believe this was less about the power consumption, and more about smaller spikes because of the lower power designs.
I strongly suspect the TP link is giving us a similar benefit - electrical isolation (WiFi + battery pack) with smaller spikes (related to low power design)
Certainly worth testing other low power designs to see how they compare.
As you play with power upgrades for the TP link, you get the benefit of not introducing more power variability - 3.3V to bypass the 5V->3.3V regulator in the TP link, non-switching regulators to generate the 3.3V (battery packs to battery supply), etc