The dramas are sort of the reverse of each other - WF is a real world person entering a manga world, TMRFTS is a manga character entering the real world.
In HL, a character from a manga enters the real world, WF is a person from the real world entering the world of a manga. They then fall in love with a person from that world while attempting to change the story.
FL enters the world of a story (novel vs. drama), initially views the ML as the villain. The ML distrusts her at first but slowly falls in love with her.