Conflict is a form of collaboration.
Although in scientific context disproving doesn't necessarily indicate any conflict. And both the person who postulated something and the person who disproved it might be thankful to each other.
this is what I meant. disproving the conjecture is a form of collaboration, it’s not meant to be demeaning and is not demeaning in mathematics
I don’t recommend going around intentionally making your collaborators looks like fools to an audience that doesn’t know anything about mathematics.