They both refer to soldiers as heroes. False. Go read the introduction to CNN's list, and put it together with their politics. It's nothing but a bald-faced way to smear the Heroes and our President.
If CNN didn't have a list of killed soldiers, someone would probably complain that CNN's politics, combined with the absence of acknowledgement that soldiers were giving their lives for the cause was a smear.
There are plenty of reasons to dislike CNN. However, there is absolutely nothing wrong with publishing a list of those killed in service. I don't see that they've done it in a distasteful way.
I don't think they should be forgotten in death. Those who knew them won't forget them, and we shouldn't either.