The significance could be that it represents a unique sad story in an English - related context. Maybe it's a story that stands out among others in terms of its sadness.
The phrase 'la triste historia in english the only story' is quite puzzling. 'La triste historia' is Spanish for 'the sad story'. The 'in english the only story' part seems out of place or perhaps it was an attempt to say that there is a sad story which is the only story when translated into English. It could be that there is a collection of stories in Spanish and this one sad story is the only one being considered for an English version or something along those lines. Without more information, it's difficult to be more precise.
Their relationship could be a bit rocky at first. They might argue about how to raise the baby. Asuka might be more strict while Shinji is more lenient. But through these disagreements, they gradually learn to compromise and in the process, their relationship deepens. They realize that they need to be united for the sake of their child.
The 'asuka top stories' could cover a wide range of topics. Maybe it's related to new scientific discoveries made in an area named Asuka. It could also be about cultural events, like a big festival in Asuka that has some amazing stories to tell. Or perhaps it has to do with the success stories of local businesses in Asuka.
I don't have any data to suggest whether it's popular or not. It could be a niche fanfic that only a small group of fans who are interested in the character Asuka and the specific concept of baby oil in the story are aware of.
I'm not sure about the popularity of Jin and Asuka lemon fanfics specifically. Fanfic popularity can vary a great deal depending on the fandom, the nature of the relationship in the original work, and the type of content fans are interested in. Some fans might be drawn to more romantic or angsty fics rather than those with 'lemon' content.
Power - up or growth themes are common too. They might face challenges that force them to become stronger, both individually and as a pair. And sometimes, there are themes related to redemption, where one of them has made a mistake in the past and the other helps them find a way to make up for it in the fanfic.
Love and acceptance is also a prevalent theme. Given their complex personalities and difficult pasts, fanfics often center around how they come to love and accept each other. This might involve accepting each other's weaknesses as well as strengths, and learning to be there for one another in a more meaningful way.
There might also be a theme related to the challenges of having a pet. In the fanfic, Asuka might face difficulties like finding the right food for the pet, or dealing with a sick pet. These challenges can add drama and depth to the story. It can also show how Asuka overcomes these difficulties, which can be an inspiring part of the fanfic.
I'm not sure specifically as I haven't read that particular fanfic. But it could potentially be about a character named Asuka and some situation involving baby oil in a fictional and creative story written by fans.