Doubtful. In most scenarios where it applies the cops are not involved in the killing (For instance, if bank robber Bonnie commits murder, bank robber Clyde can be charged for that murder.)
Furthermore if a cop lawfully kills a criminal who was acting alone, felony murder doctrine is not involved in the scenario but the cop is still subjected to the same level of scrutiny as he would be if it were.
And if a cop unlawfully kills a criminal who was working together with other criminals, felony murder doctrine doesn't make it easier for the cop to get away with it (nor harder, for that matter...)
Furthermore if a cop lawfully kills a criminal who was acting alone, felony murder doctrine is not involved in the scenario but the cop is still subjected to the same level of scrutiny as he would be if it were.
And if a cop unlawfully kills a criminal who was working together with other criminals, felony murder doctrine doesn't make it easier for the cop to get away with it (nor harder, for that matter...)