They don’t go automatically to inventory in this event. You win something and then you claim it when you want to. Just noticed you were talking about daily prizes. When I reread your post, it made me think that you are probably right.I won't be in the next chapter in one of my cities either, so I won't collect any grand prizes until I get into the next chapter, but you can't really do anything about any daily prizes that you win. They are automatically put in your inventory.