Conquer 2 kingdoms in 2 different time lines (ML partners in time)

If Bowser had not kidnapped Princess shroob in disguise, and the Mario bros gone on with there adventure after saving the Princess, without realizing until the truth later in the game.

How successful would be Princess shroob would be taking over the kingdom. How different there timeline would be after the Mario bros return from there adventure.

Also a bonus, how do you think Princess shroob would take over the kingdom on her own?