No, he just saved and not open the first chest for days and the new wars continue to filling the new bar.
I do not post this on Bug & Issues section, this is a genuine way to happen and my community are curious.
I asked this question of SG months ago. What they told me is that you lose one of the chests if you do not open the first one. In short, don’t do this!
And one more thing, I wouldn’t be surprised if the first one was empty, as the player may have been opted out for the entire chest duration, which is why they forgot to empty it perhaps