I've seen enough of paliwood to be disgusted by it's constant appearance as news.
That said - there are a couple points in your analysis that you need to revise.
1) How did the victims end up in the basement? This is basic. When a building collapses inwards (from above), no matter what floor you are on - you will end up in the basement buried in rubble from the collapse above and around you. On this point, the Qana building collapse is realistic.
2) The Mortician theory - dressing bodies for funerals:
Funerals in the Middle east are very different from what you may be used to. The practise of decorating a body with makeup and nice clothes is common for "open casket funerals". These are soooo rare in the Middle east as to be almost non-existant. They are forbidden by both Muslim and Jewish law and outside of eastern orthodox Christian practises. Generally, bodies are cleaned with water, wrapped in cloth and placed either directly into the earth or first into a simple wooden coffin. There is no "viewing". If Green hat is indeed a mortician (and I would highly doubt the calling a mortician to a rescue in another town) - he is most likely unfamiliar with tecniques for making a body attractive for viewing.
As he is so many photos for such a long period of time it is more likely that he is either in the employ of a photographer/news agency, or part of a local rescue unit - taking on whatever title makes his media appearance seem more believable. Basically - not a mortician.
1) If the victims were on the first floor during the collapse, there would be rubble underneath them. It would be easy enough to tell whether they were in the basement or not.
2) The comment was an analogy to western morticians, not meant to describe what this green hat guy does. Maybe he clipped on a binkie to make it look more tragic, maybe someone else did. The point is it's perfectly clean while the child is covered in dirt.
He calls himself a mortician, and has access to a vanload of corpses. He also has connections to Hezbollah. It ain't his first time at the dance. Not too hard to connect the dots.