If Daisy could have her own highly rated, well designed video game but her rights had to be given to either Sony or Microsoft and the game were to be developed and published by either Sony or Microsoft for the Playstation 4 or Xbox One respectively, would you purchase or play the game?
This means only Daisy will appear in the hypothetical game, which will not be Mario themed because the new company will not have the rights to other Mario property. Daisy will still maintain her personality, hair, face, and history as Princess of Sarasaland, although the new developer might dress her up in something different from the yellow and orange dress, but nothing R-rated. Daisy dukes, perhaps?
The actual nature of the game is up to the new developer (Sony or Microsoft), but will not deviate too far from Daisy's comfort level. For example, Daisy might use a baseball bat to defeat her enemies in comical fashion—think Super Smash Bros. Home-run Contest.
This hypothetical scenario is somewhat analogous to Microsoft's purchase of Rare (Battletoads, Donkey Kong Country, Banjo-Kazooie) in 2002, in which Rare retained the trademarks of characters from the games made for Nintendo consoles, but Nintendo retained its intellectual properties (Donkey Kong and Star Fox characters, even those created for Country, such as Diddy).
Imagine this as if a favorite athlete (Cristiano Ronaldo, LeBron James) changes teams, whether via club transfer or free agency. In short, are you a bigger fan of the player than of the team, or are you more loyal to the team than the player?
Keep it 100 (percent honest).