It is not funny, McGee

Q: Is there really a time and a place for everything?

A: Yes.

Q: Even grammar?
A: Yes, even grammar.

The 1A teaser at right looked worrisome, and those worries were borne out by the hed on the inside story. "Whom do we appreciate?" isn't a hypercorrection, in that it doesn't end up being "wrong" (unlike, say, "The Pope listed all those whom he felt would rise from the dead"). It's the kind of thing that gives editors a bad name, because it suggests that for all our supposed attention to detail, we're sometimes very, very bad at paying attention to what goes on in real life.

"Whom" is a lovely word with lots of friends and its own cottage humor industry. What it ain't is part of the idiomatic cheer-like phrase "2-4-6-8: Who do we appreciate?" That phrase doesn't need any extra Grammar®. As our nice friends at the Webster plant suggest, it's peculiar unto itself in grammar*. And it's fine the way it is. You don't "fix" it by adding "whom." All you do is annoy the crocodiles in the moat.

* Or, as in "Monday week," in "having a meaning that cannot be derived form the conjoined meanings of its elements."