Not entirely true. Casey did indeed say the title on some occasions, while ignoring it, like you said, on others. (Casey even said the title on the countdown on the week that it dropped off, along with the five or six others that also dropped off that same week. He could have easily avoided this by not mentioning ANY of the titles that left the countdown that week.) My local station at the time, as far as I know, never censored the song from the countdown, but at the same time, didn't really go out of their way to play it, either.
I haven't heard it played since its days as a hit, but I am also not aware of any stations that carry the retro American Top 40 countdowns intentionally avoiding airing any old '80s countdowns that happen to contain the song.