Well, in the 'big mom is luffy's mom fanfic', they might have crafted a story where Big Mom is Luffy's mom. But it goes against what we know from the official 'One Piece' story. Fanfictions like this can be really interesting as they can rewrite the story in unexpected ways. They might have some interesting plot twists and explanations within the fanfic to justify this relationship, but it's not part of the main 'One Piece' universe.
One possible plot implication could be a change in Luffy's power source. Since Big Mom has such unique and powerful abilities, Luffy might inherit or be related to some of those powers in the fanfic. Maybe his Devil Fruit ability could be related to Big Mom's in some way.
The outcome is kind of ambiguous. Luffy shows great strength and determination but doesn't defeat Big Mom completely. The battle has many twists and turns that keep you on the edge of your seat.
The chapter where Luffy defeats Kaido is 1049. This battle showcased Luffy's growth and determination. It also had a ripple effect on the other characters and plot developments in the series.
As of now, in the manga, the identity of Luffy's mom remains unknown. There have been many theories and speculations among fans, but no official confirmation.
" Big Boss Admits Defeat " was an original modern romance novel written by Wind-Listening Three Thousand. The story was about the little princess of the Lu family, the top tycoon in Cloud City. After experiencing the process of being deserted by everyone in order to be with the person she liked, she finally died in his hands. After her rebirth, Lu Tingjiu had single-handedly taken control of the entertainment industry. However, the once popular A-list male star had fallen from his pedestal and lost his reputation. This novel had already been completed, and it could be used as one of the recommended endings for the big shot to admit defeat.