Let’s turn it around. Let’s say a 78 year old lawyer shot Dick Cheney in the face while hunting.
Think it would have taken an entire day before the news was released?
Think the lawyer would have had at least made a statement within a couple days of the incident?
Think the lawyer would be able to skip being interviewed by the police until the morning after the incident?
It’s kind of an unfair comparison; you have to be a little more careful when someone shoots an elected official. Still and all, it’s not as if Vice Presidents shoot people that often. You can probably treat such incidents as serious — rather than “sure, we’ll come back tomorrow and talk about it” — without placing an undue burden on the institution of the Vice President.