Yes. In 'The Sound of Music', the family's Sundays might involve going to church and then having family time together. These scenes on Sundays help to build the family dynamic and the overall warm and loving atmosphere of the movie, without any sexual content.
There is no love story between them. Batman is more like a father figure or a strict mentor to Robin, guiding him in the fight against crime in Gotham City.
I'm not sure there are many common fanfictions specifically about Batman, Mr. Freeze and diarrhea. However, it could potentially be a very strange and comical take where maybe Mr. Freeze's cold powers accidentally cause some sort of gastrointestinal distress to Batman or a bystander in Gotham. But this is really a very odd and not so common concept in the Batman fanfiction world.
The story where Mr. Freeze tries to freeze Gotham City to create a new environment suitable for his frozen condition is also great. It shows his extreme measures and how he's willing to go to great lengths for his own survival and to fulfill his goals. Batman has to use his wits to stop him from turning Gotham into an iceberg.
The closeness varies. Certain Batman films strive to be faithful replicas of the comics, while others reinterpret and modernize the story. It all comes down to the creative choices made by the filmmakers and the demands of the audience at the time of release.
Mr. Freeze's story in Batman Arkham Origins is quite interesting. He is a supervillain with a tragic backstory. His wife is ill, and he is desperate to find a cure. This drives his actions in the game. He uses his cryogenic technology to create various obstacles for Batman. He is a formidable foe, not just because of his weaponry but also his determination.
Well, it could be a really wacky plot where Batman somehow gets a strange illness that causes him to have diarrhea and he has to deal with it while still trying to protect Gotham. Maybe his enemies try to take advantage of his weakened state because of this unexpected ailment.
There may be some really out - there fanfiction ideas in the vast world of Batman fan creations, but 'batman mr diarrhea' sounds rather strange. It's possible that it's a very unique and perhaps humorous take by a small group of fans. However, I haven't come across it myself. You could try reaching out to die - hard Batman fanfiction enthusiasts on forums to see if they know anything about it.
Classic Batman graphic novels have had a huge influence. For example, 'The Dark Knight Returns' inspired the darker and more brooding tone of the modern Batman movies. The character design and the way Batman is portrayed as an older, more battle - hardened figure in that graphic novel can be seen in some movie versions. Also, 'Batman: Year One' influenced how the origin story of Batman was told in the movies, like showing his early struggles and his relationship with Gordon.