Unfortunately that is the case. As in this case you have two cops lying to protect the third. But fortunately in this case you have the unbiased witness of the body cam that clarifies the matter.
"Fortunate" or "unfortunate" depends on whose ox is being gored. With better training, the cops will learn to be better liars, and choose a lie that is not easily falsifiable. The courts will have their backs. But, when the lie is easily falsifiable, the cops make it tough for the courts to give cover.
FWIW, we live in a society where violence by cops is the norm, and lying is an approved legal strategy. That's reality. Adjust yourself to it, or risk serious injury or death by cop.
If you think the lesson that cops draw from this is to be less trigger happy, you are wrong. The lesson is to learn to be better liars, to choose a lie that is difficult to falsify.