To be fair that was 5 on 5, they had 5 on the PP as well for a total of 8 in the game. There's definitely flaws in naturalstattrick though as I'm pretty sure their calculation of that is from pre-determined shooting areas rather than actual observation of the shot.
I know it was for 5v5, but at 5v5 the Hawks definitely had more than 3 "high danger scoring chances."
I believe you're right about their calculation being determined by where the puck was shot from. Honestly labels is what makes me a bit frustrated with some advanced stats. The stat that they are giving us is not telling us what is and isn't a high danger scoring chance. The stat they are giving us is essentially # of shots from X, Y and Z distance from the net.
It's the same gripe I have with shot metrics. They are very often used as "possession" stats, but they don't measure how much a team has the puck, they measure how much a team shoots the puck. Sure there might be a correlation, but that isn't what is actually being measured.
There is value to all of these stats. But for a stat to be valuable it needs to be applied appropriately and accurately.