And then went back a second time to make sure they were dead. And then mutilated the bodies. So neither premeditated nor calculated but more than a mere moment of rage. The story of him subsequently “rocking to death” his wife’s illegitimate child, which if true would apply to the OP, appears to be now considered apocryphal.
ISTR there is some speculation that William S Burroughs’ shooting of his wife was not, as previously accepted, a drunken accident, but rather that he intentionally set up the William Tell scenario to provide cover for killing her. Burroughs subsequently claimed he had dropped the gun and it had accidentally gone off, and other witnesses said the gun had gone off when Burroughs was checking to see if it was loaded. Burroughs was convicted of homicide in absentia but the truth of the matter remains unclear, particularly given the amount of alcohol and drugs being used by all at the party in question.