Not to turn this into a PC debate, since obviously the term PC has been so mangled and practically unrecognizable these days, but let me offer a definition. From when I remember the term PC used a decade ago, it conformed to this idea:
“'marked by or adhering to a typically progressive orthodoxy on issues involving especially race, gender, sexual affinity, or ecology”
(More in-depth info here)
I would hardly call being sensitive at someone’s death “progressive orthodoxy,” but hey, it depends what hole one crawled out of. Typically, PC would be used when refering to, well, POLITICAL and social issues. For example, including more female and minority literature in school curricula, affirmative action, care towards the way one refers to marginalized groups, etc… The context always included issues of race, gender, sexual lifestyle or the environment (see above definition.) Political correctness almost always seemed to involve the tension of competing -isms.
For me PC has always meant this, and it pisses me off when people confuse it with common courtesy, since PC carries such negative linguistic baggage. Although I do think a lot of PC is good manners, good manners is not PC. Is punching your best friend in the face un-PC? Is not farting at the dinner table an example of liberal PC brainwashing? The prescript against being rude at someone’s death, as in the OP, is not a PC construct. Try Little Miss Manners, or just Plain Human Decency.
That said, I don’t think what her father said is that big of a deal. Yeah, it’s rude, it’s crass, it’s yadda yadda yadda, but, hell, this is how most people are. OK, from my subjective experience, that’s how most people are. It’s just a cynical statement, and leave it at that.