Yeah, emergency services picking a lock is probably not a realistic scenario, but probably not that much more unrealistic than an assassin picking your lock and waiting in your house to kill you.
Sometimes emergency services will try simple lock raking or lock/door bypasses in an effort to not destroy the lock/door unnecessarily, as it can put a financial burden on the occupant. I think in some circles they refer to this as "respectful entry", e.g. https://coastalfiretraining.com/