I ended my session abruptly before it's supposed to save in No Hope and when I reloaded it again, it remembered all the Herbs & ammo I used, as well as remembering how I only have one block of health left.
There is no such thing as a "Quick Time Event done right". A game that has Quick Time Events is a "video game done wrong".
RE5 and 6 save when there is a loading screen, or each "room". Checkpoints inside the room are only temporary and you lose all progress in the room if you quit
This is correct. It only saves (typewriter icon) when you reach a new map. For example, there are five maps in Leon's first chapter: Campus - Visitor's Room, Campus, Underground, The Town, and Gun Shop. Save points are also checkpoints, obviously.