Yes, for a very good reason. Currently, incentives are such that police are rewarded with long careers and large pensions for avoiding mental healthcare.
Despite having excellent access to healthcare, police notoriously avoid accessing any type of mental health resources. They're afraid that they'll lose their jobs for it, which makes sense.
A cop's testimony is pivotal to most criminal cases, and if it is called into question because of the cop's mental health status, that can be a liability. Many places have strict policies concerning mental health and policing, as well.
It's absolutely necessary that the state implements mental health screening for police officers, because they refuse to implement it themselves.
Who would not be more than a bit stressed if they believed this was the actual situation?
I don't know all the facts, and maybe reasonable people would conclude the cop acted in an unprofessional or even criminal way.
That's not the point: the point is this kind of thing will keep happening because of the mix of nervous people with lots of guns.