Yes, I do think that if people think having sex with the dead is sick, then that could also extend to any sort of sympathy toward the dead, since the nature of sympathy is sexual to a degree.
Necrophilia is not always sexual in literal terms, it could also mean any sort of interest toward the dead. Therefore, people who tell me that I have no respect for the dead are necrophiliacs, for what sick bastard has respect for a rotting corpse?
Wouldn't you say it's more important to have respect for the living than respect for the dead? I mean, after all, it is 100 percent guaranteed that the dead are not going to care if you make fun of them.