
What a truly odd perception you have of what happens with wrapped presents vs unwrapped.
IMO, there's something magical about walking into the room and seeing all those presents wrapped in beautiful paper and wondering what's under the wrapping. We've never taken "two minutes" to unwrap presents

(does it really take anyone TWO MINUTES??), nor have we had a "Hurry up and open this present, set it aside, grab another one, I don't care what it is, just give it to me." Yikes...how bizarre! That sounds more like a function of
spoiled children than
wrapped gifts. And a child can only walk into the room
seeing all those toys and know that each one if for them alone (yikes) if they're an only child.
DH hands out the gifts, one at a time. We all look to see what a person gets. It's never been chaotic; always low-key.
How do you manage to keep your kids from "Hurry up and open this present, set it aside, grab another one, I don't care what it is, just give it to me." with their grandparents if they're wrapped gifts, since wrapped gifts apparently seem to bring out the worst in people?