I only have this with the Glo HD, with the normal Glo it never happens (the sometimes not good reacting on the "flap" of the cover but as the timer kicks in,the light went off anyway.) but even then,it is made to work 2 months at full charge so it never drains my battery even if it would stay on and that was where some people are searching for as an explanation for a power drain.
On My device,the repositioning of the "flap" makes it to go out so in my case it has something to do with the cover.
But that one is a cheap one from ebay for 1,99.
The only thing I can say is, there are so much people with all kind of problems that i lucky never had..it alsmost looks like that a lot of devices have some hardware/software problems of their own.. almost individual.. makes it hard to solve