I don't think this is a viable argument because we have no baselines here. In case phones have been running a shadow OS for many years now across the board there just are no phones around to compare battery usages in a meaningful way. "Drain very badly" isn't a figure I can measure when all phones do the same. All the older phones that run through my hands have generally a "bad" battery life cycle; I ascribe that to battery degradation plus technological advancements that have raised the bar.
This second OS performs very few operations, such as recording and sending data to the network over time when it's connected to the internet. Or it doesn't even need an internet connection. It sends the information every six months, so you don't even feel it. The data is collected in a very lightweight, encrypted, zipped, alien technology way, so it's inconspicuous.