Is it really about the bottle being decanted, or being ensured you're getting the wine you asked for? If I order the vegetarian lasagna, but I get the beef lasagna I'll immediately realize something is wrong. I think that's less true for drinking wine, especially if you're not super good at sensing nuances.
If I trust you to make my food in secret, out of sight, I trust you to open my wine in secret, out of sight.