In the first, a armed felon killed himself during after an eight hour standoff with the police.
In the second, a man attacked a clerk at a hotel. When police arrived, then man was lying on the floor, bleeding. Police immediately called for medics, but the man became unresponsive and died before fire/medical arrived.
These deaths are both counted as "arrest-related-deaths", which is to say, the actual moment of death was when the police were on scene, but in neither case did the police even use force. I didn't see a place in the article where these kind of situation was excluded. Did I miss something?
[Edit, after more digging into the BJS data, it does contain a homicide flag, which is on about 61% of the records. As long as the OP is filtering by this, it's a good start. But take stats on public police killing websites with a big grain of salt, since these kinds of non-force cases are still included in the top level stats for the sites I checked.]