Yes and No. The facts at the scene of the shooting raised questions that had to be answered. His answers to those questions were a bit much.
Those questions did not have to be answered, al least not then. He should have simply admitted firing the shots and refused to say anything more until he obtained an attorney and consulted with that attorney. That’s particularly true here where he apparently fired multiple times after the threats apparently ended and killed both perps. In any case like that the the homeowner is at risk of some serious charges and needs to consult an attorney before saying anything to the cops.
A legitimate - and the only sensible - answer is: "If and when it comes to trial, my attorney will respond to that."
Regards,