On one point Mr. Frink is indeed very correct:
HotRod should be old and wise enough to know, that this kind of humor, even if not meant to be an offense, can offend people, not sharing that kind of humor.
On the other point:
The "Ho-Ho-Homo Christmas" line was to cheesy, to really read as an insult, but generally the "Homo" is more an insult from heterosexual people towards homosexual people, and not as normal as the non offensive, more as "brother" meant n-word along black folks. Or when did homosexual people starts conversations like "Hi homo, you won't believe what happend today." - "What happened, oh my homo friend, but not boyfriend?" - "I called Detlef a hetero, because he was drinking an ale!" - "No he didn't?!" - "Oh, yes, he did. A cold Ale, from the bottle, exactly as a hetero would do." - "Oh dear!"
So, please stop picking on Mr. Frinks, he wasn't that wrong at all.