The title of the thread is a misnomer. The precedent established by previous pages of this thread isn't that a song you don't veto fails to offend you, but rather that you actually like it. "Like" however, is also being used as a somewhat loose term, a minimum of positive feeling and appreciation for a song being sufficient to prevent vetoing.
Also, a song you find boring can be offensive in the sense that it bores you when you'd rather not be bored, and you're meant to be listening to the song, rather than playing the song while doing something else entirely and not retaining any meaningful memory of what the song was like. In this case, you may find at the end of the song it was a waste of your time, or you'd rather have stopped it part way through instead of bothering with the whole thing.