Well my guess would be that he was shot but while on the ground he still took photos and then after that he placed the cam by his side and passed out and/or died.
And if you notice the first and 2nd frame, (based on the position of the people to the left moving etc), you can see that both shots were taken very very close to each other. The soldier probably wouldn't have enough time to shoot the photographer.
My guess would be he died of a prior bullet shot not shown in any of these frames.
My 2 c