Maybe they thought it crossed the lion?
Seriously folks, there were some disturbing elements in the death of Aslan that would frighten certain people more than the death of someone like Dumbledore.
1) Aslan was tied up. He couldn't even move. He laid there and saw it coming.
2) He was desecrated.
3) He was surrounded by hate on all sides. They were laughing at him as he died.
4) The story paid a lot of attention to his dead body afterward.
I think LWW as a book and movie are tasteful. For that matter, so was Bambi. As for most modern video/computer games, well, if it didn't vomit blood on your rocket boots before it died, it isn't "cool". It's a matter of whether violence is important and properly dealt with or gratuitous and left unresolved.
Research shows that the worse of two violent events is dealt with more easily by children if it's accompanied by some form of catharsis than the less violent act left unresolved.
Example: A child sees his mother get shot in the shoulder by an assailant. He calls 911 and gets an ambulance, then later bravely faces the man in court and gives testamony to get him put away for a long time. His mother, sitting on the front row, is so proud of him.
Then switch to the story of a young man and woman walking through the park on a romantic date. Suddenly a pervert jumps out, rips the front off the woman's dress and takes a picture of her exposed chest. The man tries to rush him but the pervert pulls out a switchblade and says "Back off, wimp!" Then he dashes off with his camera and is never caught.
To a child the first story is scary but the second is horrifying. There is no closure. Does the woman think her boyfriend is less of a man? Will it happen again? Will the pervert do it to other women? Is he going to put the pictures on the internet? Will their mothers see it online? What was he going to do with the picture?
Unlike Dumbledore, Aslan got the last laugh. And unlike Dumbledore, Aslan was in complete control of what happened.