I'm not an EE, so I'll just drop this thought here..
1- Let's assume the Batteriser would increase the battery life by 10%(just a crude average of poorly and properly powered products) when used after the first "cutoff-death"
but
2- the Batteriser dc/dc converter will have an efficiency of, say, 70%?
So, either you take the hassle of always carrying some batterisers and slapping them in right at the first cutoff(plus you device died one time, and is gonna die again, soon), or you're actually decreasing battery life.