Your explanation seems plausible. I guess from what I gathered in the song's tone, the loss expressed seems forever (with divorce, you still have your father, to some extent, unless he leaves and never sees you again). When the father goes off to war and dies, that's it. Never to be seen again. But you are correct in that both circumstances involve loss and pain. You have gained much wisdom for your age and I hope you will put it to good use and seek happiness. Peace to you.