I think they should. At least the ones outside of your house in diamond city should share the inventory with the workbench in your house.

Very straightforward, if it is done correctly. See Help. Also see reply below.

Exactly. As I said.

They are not "unlike" just the opposite. AID items (not "food" only) are used for various crafting and always have been. They are where they should be.

Make your own game. See if it is successful and what feedback you get. Pretty simple.