Of course! When events in the game world, i.e. the results of the NPC's successful Charisma (Performance) checks, begin to mount up in contradiction to the PC's stated opinion of the NPC's degree of talent, the player might feel the PC is obliged to acknowledge the NPC's raw talent, regardless of their personal opinion or dislike for the NPC's style. The PC could form a new belief about the NPC: "So and so's talent is widely acknowledged by many, but their style just isn't to my taste." Taking an example from
@Bill Zebub's post #209, when the politician NPC wins an election as a result of a successful Charisma check, the player who had stated their PC found the NPC utterly repugnant and couldn't believe that anyone would vote for him will have that belief challenged to some degree because they will have, in part, been proven wrong. They might acknowledge that, in fact, the NPC is a savy politician after all, or they might form a new belief such as "Good leadership is in the eye of the beholder. There's no rhyme or reason to what people will find appealing in their leaders."