These are all excellent! I honestly read this whole thing and I don't think I can disagree with your read on any of these functions, or the examples you used for them.
Archives and restore has always been a bit nebulous within the rules text, but for the next version of the rules I'm doing my best to give more guidance for those (even though alternative reads of the functions are always welcome). Here's a preview of the page spread on the Restore function and archives in general (if it's tough to read try right-click and viewing in a new tab).
Viewing post in Understanding the 9 Functions
Nice. Good to know my intuition is working properly. Thanks for another preview, too.
One thing I've idly wondered about Restore seems to be addressed in the point about not being able to bring back self-aware entities: Using it to heal harm during a score. Of course, the meta reason is that it's inherited from Blades in the Dark, far removed from the instant healing in other TTRPGs.
Like the bit about the viper sentry on the safe. I've written up a few ideas on my World Anvil for animal subroutines and the like created as pets, and this seems like a good extension of that.