The problem is the pics involved the uniform, hence a disgrace to the uniform in the form of using it in a dishonourable act. A little stupid to demote her I agree, however fair play.
The problem is that the pendulum has swung way too far in favor of employers. The question isn't whether she did anything at all to tarnish the PD's reputation. Is what she did sufficient to justify an invasion of her privacy by an employer who would otherwise have no business there? She wasn't acting as a representative of the PD in the video, which was clearly intended for private use, and she had done nothing in her capacity as an on duty officer to bring the PD shame. It was the PD itself which chose to make the video a public issue when it decided to demote a public servant based on her off duty behavior.
You could argue that public service workers like cops, FD, soldiers, politicians, etc, should be held to a higher standard. Idk, I'm undecided. But I oppose the general trend of employment being contingent on a worker's behavior outside of work. Drug testing, facebook monitoring, etc, should be out of bounds. The onus should be put on employers to demonstrate that a worker set out to intentionally damage the employer through actions undertaken outside of work. This nosing around in people's lives is unacceptable. It represents a supremacy of corporate rights over individual rights, and it's time for the courts to rebalance the issue.
I've never been an employee, have been an employer in the past, and may be again.