Certainly the article doesn't hit on power, but if it is "faster" and uses the same amount of energy then it should do the same about work and consume less battery.
Unfortunately from the article it's hard to tell anything from power consumption other then the Snapdragon X Elite 8 has a roughly 28W "TDP" and that the Elite A has 80W "TDP" and is only slightly faster. Still, this doesn't translate to real world power usage.
I'd love to see a real world benchmark that measures actual power consumption of these chips.