I love that idea! I think I speak for everyone when I say we like extra content of games and characters like more lore or just little tidbits of information about characters:3
They could just be little fun facts in post format, or perhaps dlc or bonus content you can unlock after you complete an ending!
The game I'm working on currently will have bonus scenes that show how the characters live together in their daily life after the main storyline is completed. There're lots of ways people integrate extra stuff that doesn't fit with the main story!