Okay, this one has me stumped. Almost like how He Keeps Me Here had me stumped.
Regardless of where I'm currently at mentally with the story of this game, it pulled the same punches as Two Lines, and to some extent, He Keeps Me Here. What I mean by that is how it appears to be nothing special at first until you reach the end of the game. It is at that point that the key ingredient to understanding the game, the main message, is delivered, although cryptic as heck.
Now, as for my interpretation of the game, I have one that I find to be pretty solid. In my recording of this game, I mention near the end how the somber dialogue of the father to his daughter almost sounded like the father was heading off to war. This theory only became a solid one whenever I took a second closer look at the painting that the daughter made following my recording. If you look closely, it appears as if the father is wearing a Great War uniform or something else of that matter, and has his ACH, Army Combat Helmet, resting under his right arm.
With this, it makes sense how the father has a sad yet comforting tone with his daughter. He knows he probably won't make it back, yet he doesn't want his daughter to know that. He leaves a coin with his daughter as a sort of memento before his parting. Something to remember him by just in case he doesn't return.
Now, with the coin and strange day/night cycle, I can see that as symbolical of life and death. On one side of the coin, you have the possibility of the father returning: Day. On the other side, you have the unfortunate possibility that the father has perished and will not be returning: Night, with the night side of the coin being shown at the end of the game in what seems to be a warped side profile of the people roaming the small village. At least I think.
And finally, the painting with the father looking out and the daughter looking in gives me the feeling that the father failed the coin toss. I get this vibe because the daughter had made this painting with her father in it via her imagination as the father said. You play as the father in this painting, which I see as a way of saying that he is not in the real world anymore. He is now just a part of his daughter's imagination. He travels in this painting to where he can look over his daughter, almost like an angel. This part of my theory seems to be a massive stretch, but it's what I got from it, haha.
Anyway, another really good game that was also done in a week. Relax, bruh. You can't be putting out games like this in one week. Nah, I'm kidding. But regardless of how much time you put into the game, it was pulled off very well. Great job!