Well, if it's a family story, the significance could be in the tradition it represents. It might be something passed down through generations, and the red hot peppers and weenies could symbolize family unity during meal times or special occasions when this dish is made.
Since I haven't read 'the battle of the red hot pepper weenies stories', it's hard to say exactly who the characters are. However, based on the title, we can make some assumptions. There might be a group of adventurers who are intrigued by the red hot pepper weenies and get involved in the battle. There could also be a local character who knows a great deal about the weenies and either helps or hinders the others. Maybe there's a character who is a chef or a food lover and is especially interested in the red hot pepper weenies for their culinary value.
I'm not really sure specifically which 'red hot pepper weenies story' you're referring to. It could be some kind of local or family - specific anecdote. There might be a story where red hot peppers are used in a creative way in cooking with weenies (hot dogs or sausages perhaps), like making a spicy and unique dish for a gathering or a family tradition.
His friends would probably take care of him. Midoriya would be very eager to help, using his kind-hearted nature. He would make sure Todoroki is fed and comfortable.
Maybe there's a chef who is really into red hot pepper weenies and wants to prove his skills. There could also be a little kid who discovers the magic of red hot pepper weenies.
One of the main themes could be competition, as the title mentions a 'battle'. Another might be the significance of the'red hot pepper weenies', which could be symbolic in some way, perhaps representing something unique or special within the stories.
One idea could be that all his friends at UA plan a surprise birthday party for him. They decorate the common room with his favorite colors, blue and red. Another plot could be Todoroki spending his birthday with his family, trying to reconcile with his father on this special day. Maybe he receives a heartfelt gift from his mother that has a deep emotional significance.