there's a lot of misinfo about these batteries to the point it gets confusing. u.s. news seems to be making out that they 'can' last as long as 30 days but might die sooner whereas my understanding has been they're guaranteed to last 30days but can last a lot longer (as in the air france flight one above).
watching some reports you can have two experts on the same slot giving seemingly totally different impressions. it does feel deliberately confusing.
likewise there's been this impression made that turning a transponder off makes a plane invisible which is a nonsense. the plane still shows up on radar - all the transponder does is transmit the flight details and identify some data about it - that is not what any halfway modern airport relies upon and as has been pointed out private airplanes don't have to have transponders yet air traffic control still traces them and responds when they are somewhere they shouldn't be.
malaysia is not some backwater shanty town airport (i've been to a few of those mind). there is no way on earth that a plane would disappear from their civilian radar system purely from the transponder going off. likewise once the 'it flew low' misinformation was discounted there was no longer any rational explanation as to why it would 'disappear' from the military radar which they finally admitted had tracked it for a further an hour.