It is good practice to stop well before an intersection when stopping for pedestrians (and yes, every intersection is a legal place for pedestrians to cross the road, unless a sign says otherwise). One reason is so that a vehicle may be able to move through the intersection without being blocked by you (since you are stopping anyway – may as well leave them the opportunity to go). In this case (in the video), it seems a law enforcement vehicle may be tending to something important. Another reason is to protect the pedestrians in the event you are rear-ended. You have an entire vehicle around you; they do not.