In dark souls you can quit any time you want save for when you're being invaded. And you can get rid of invasions by playing offline, or leaving yourself in undead (or unkindled) form.
Dark Souls doesn't quite fit the above complaint because you can save and quit whenever you want, including in such bizarre circumstances as falling to your death (you'll load on the last safe ground you stood on) or in the middle of combat (enemies will be reset when loading).
Every game in the 3DS pauses when the player closes the lid. It should be the same with the Switch.