There is such a thing as exaggerating risks and you are doing that now.
Non trained members of public are expected to keep perfect calm and control. It makes Bo sense that expectations on random Johny are higher then those on trained cops.
If the only information you are operating off is an unconfirmed civilian report, I don't think that's entirely unreasonable. At the very least, they should be 100% certain that the suspect has a weapon - the police should act at a far higher standard than "feared the male pulled a weapon from his waistband".
IMO, the police should be there for the protection of society as a whole, but _sometimes_ (far from all of the time) act as if they are just protecting themselves over and above that/at all costs.