Definitely. The show draws inspiration from various DC comic arcs and characters to create its narrative. It weaves together elements from multiple comic sources to form a unique storyline for the series.
One great 'Axl Legends of Tomorrow Fanfic' is 'Axl's New Adventure'. It really dives into Axl's character development in a unique way. The author does a wonderful job of exploring his relationships with the other characters on the Waverider.
Yes. Legends of Tomorrow has a comic book background. The show took elements from the comic books but also made some creative changes to make it suitable for the television format and to attract a wider audience.
It depends. Some comic book fans love it for its unique takes on familiar characters and concepts. But others might find it strays too far from the source material.