Unlikely. Light appeared to be around 5 lumens maybe requiring about 0.05A. If directly driven with 3.7V, then it's 0.185W. If he gets 20 hours of light, cell capacity @50mA is 1Ah, which seems close enough for the battery size, though maybe a little high, so LED draw is probably a bit less than 50mA and 0.1W, no where near 2W.
Unlikely. Light appeared to be around 5 lumens maybe requiring about 0.05A. If directly driven with 3.7V, then it's 0.185W. If he gets 20 hours of light, cell capacity @50mA is 1Ah, which seems close enough for the battery size, though maybe a little high, so LED draw is probably a bit less than 50mA and 0.1W, no where near 2W.