Yes.
It's not always possible to make the determination of someone's intent, but based upon the balance of probabilities, which is our standard of proof in most circumstances, we can. The data that's collected is not just the manner of death or means of death, but also the cause of death. Drug toxicity would be the cause of death in both Mr. King's and Ms. Bertrand's circumstances. For those of us who would go then to collect the data, we wouldn't miss either of them because we would base it not just on the manner of death, but on the cause of death as well.