In the case of the male intruder, it may be accurate that he killed him in the midst of a break-in.
In the case of the female intruder, it may be accurate to say he wounded her in the midst of a break-in.
What is clear is that after he wounded her, he then murdered her after he was no longer in danger.
if by “murder” you mean “psychopathic rage monster who eats kittens on the weekends”
He is certainly pathological, as his own attested behavior demonstrates. There is no need for wild speculation as to his pathology when we have his own words.
Obviously there is, or you wouldn't be posting.