The interesting part isn't always the distrust itself, it's the ripple effect. If Naruto doesn't trust the Konoha leadership, especially someone like Hiruzen or the elders, that paranoia would logically extend to anyone close to that system—which, in many fics, includes his own kids or a spouse if they're a shinobi following orders. I read one where he was convinced the village was using Boruto to spy on him, and it completely warped their father-son dynamic. Boruto just wanted approval, but Naruto saw every achievement as a calculated move by the Hokage's office. It makes the home feel like another battlefield.
The fallout is usually in the silences, not the arguments. He might withhold information about missions, be overly critical of his family's friendships with other clans, or have a completely separate, hidden safe-house 'just in case.' The family unit fractures because trust is the foundation, and without it, you're left with people going through the motions in a house that's never really a home. That constant, low-grade suspicion is more exhausting than any villain fight.