As I have posted long time ago, I have received two module versions, green (not stated at the product description page) and blue one.
The IC used are: green module - AM2107, blue - CE8301.
From two the green is preffered as it operates at higher frequency (lower ripples) and that is why the filter capacitor is small (ceramic).

Description:
"the input to the output current of 500 ~ 600MA with two AA batteries" - nope
"single AA battery power supply output current 200ma" - nope

According to datasheets blue version (the one shown on the photos, IC marked "E5") delivers upto: 0.9V input => 10mA output, 1.5V (1xAA) input => 160mA output, 3V (2xAA) input => 270mA output.
Green version: 0.9V input -> 0mA output, 1.5V (1xAA) input => 180mA output, 3V (2xAA) => 430mA.

"High conversion efficiency, up to 96%" - yes, "up to". AM2107 < 92%, CE8301 ~ 85%