I think Madamez has made logical points about this subject and others, quite understandably, have been swayed by their emotions.
I don't think anyone would advocate outright disrespect of the dead or the mourning. But a non-action of respect (failing to tip one's cap) doesn't necessarily make someone disrespectful.
Some people are merely questioning whether a slow moving funeral cortege is an outdated practise. The practise began at a time when people lived in small communities and the cortege was made up of horses and carriages.
Whilst one can acknowledge that it is nice to see people slowing down for hearses, tipping their caps and closing their curtains, these things not being mandatory do not necessarily signal disrespect or a falling apart society. It's simply different traditions for different times.