A team shall unitedly fight the competition. The moment the internal issues prevail the team spirit, that team is no more justifying their presence in the competition, even if they go ahead competing further and even if they win.
Practically speaking, both competing and winning are important in their own ways. What's also important is the introspection later to the competition or win about what must have caused the internal issues. Not every team member is expected to be ideal, for that matter no one is ideal. But introspecting time to time helps everyone. Confronting at right times is useful. All we need to know is when and how to do so. And that varies from case to case. Choose your case carefully and consciously.