You say something honest, notice the other person's expression, and try to turn it into a joke. The words can be withdrawn, but the other person has already heard them. Back number's Happy End builds much of its emotional force around that small, recognisable failure of conversation. Its farewell is not simply sad despite a cheerful title. It asks whether an ending that looks manageable to one person can still be unfinished for the other.
Speaking calmly is not the same as accepting the end

At the beginning, what the speaker manages to say does not neatly match what the occasion demands. The difficulty is more specific than having no words. There are words available, but using them would make a departure feel final while affection is still present. The hesitation makes outward composure an unreliable measure of what has been resolved inside.
That is why gratitude need not be treated as a lie. Someone can be grateful for a relationship and still want it to continue. They can also want to leave a good impression while resenting the need to leave at all. If we demand that only one of these feelings be sincere, the farewell becomes simpler than the song allows it to be.
Think about the difference between finishing a conversation and finishing a feeling. The first can have a visible endpoint: a goodbye, a closed door, a journey home. The second may not obey the same timetable. This is a useful distinction to carry through the song, because a composed reply can help the conversation end without proving that the speaker is ready for it.
A retraction cannot make a wish unheard

The refrain repeatedly exposes a desire and then retreats from the exposure. If you take only the retreat at face value, you can act as though the desire never existed. Listening to both parts makes that impossible. The second movement changes how the first should be received, but it cannot remove the fact that it was said.
An unsent message offers a contrast. You can delete a draft before the recipient sees it. Spoken words do not provide that clean undo button. Trying to soften them may reveal how much it cost to say them. Here, the apparent joke does not simply reduce the emotional stakes; it lets us hear the speaker trying to make those stakes less dangerous.
I hear that movement less as a strategy for controlling the other person than as an improvised escape from possible rejection. That is a reading of this particular lyric, not a rule for interpreting every joke in real life. A song gives us access to an inner voice that another person may never choose to share. Empathy with the speaker should not become confidence that we can read somebody else's mind.
Whose relief gets to define a happy ending?

The other person's relief at the speaker's apparent composure gives the title a sharper edge. A farewell can look successful because it has avoided visible distress. Yet that success may depend on one participant concealing precisely the feeling that would make the ending uncomfortable. The scene can therefore be reassuring and painful at the same time, depending on whose experience you follow.
Calling the title ironic is a reasonable starting point, but it leaves a further question unexplored: who is able to name this a satisfactory conclusion? The lyric does not need a villain to make the imbalance hurt. Somebody may honestly accept the reassurance they have been given. Meanwhile, the person giving it may be paying an emotional cost that the tidy conversation conceals.
The affection that survives the farewell also prevents an easy verdict. The speaker has not discovered that everything once loved was worthless. What made the relationship matter can remain true even when the relationship is ending. For me, that is the song's most difficult thought: understanding that something has ended does not automatically supply the feelings needed to live as though it has.
A question for your next listen
On the next listen, separate each exposed wish from the words that try to take it back. Does the retraction erase the wish, or show how vulnerable it felt to express it? Then ask whose experience of the final conversation would justify calling it a happy ending.
Happy End (ハッピーエンド) was released on November 16, 2016 as back number's sixteenth single. It is the theme song for the film Boku wa Ashita, Kinou no Kimi to Date Suru. Iori Shimizu wrote the words and music; Takeshi Kobayashi and back number are credited with the arrangement. The official music video is embedded below.
This reading follows the Japanese lyrics; it is commentary, not a full lyric translation. The illustrations are imagined scenes.