If abuse can’t be eliminated then it’s about what ratio of abuse to crime reduction is tolerable I guess. If we find 100 taken children while a dirty cop stalks his ex - is that tolerable? I’d say yes. If it became more abused I guess that’s when society needs to decide.

Abuse can be eliminated. It's called requiring a warrant. What's tolerable doesn't matter: we don't need to litigate how willing we are to bend the fourth amendment.