@Monarch in neechan wa chunnibyou everyone is basically a character in a story, they all have roles in their stories, ie
Ryoma Takei is the universal protagonist, it doesn't matter if you're the protagonist in your story he will usurp your position.
The story will always work out convenient for the protagonist, like the villains doing something stupid, the protag getting a convenient power up etc.
Yuichi's role>ryoma's role, his role is to be the guardian of the human centric world, aliens, gods, supernatural beings, superhuman beings, all of those things go against the human centric world, which is why such things can't beat yuichi.
As the guardian of the human centric world there will always be a chance for him to win, and as such he will always win. The reason why certain abilities like plot manipulation and power stealing don't work on him is cause he would lose, and yuichi can't lose so they get negated.
In other words what i am saying is due to his passive plot manipulation, the abilities you just listed get negated unless those abilities work above a planetary scale.