Nothing needs to be removed to insert the cargo organizer. It sits about 1" below the level of the hatch lip. I wouldn't say it hides much. It is fairly obvious from the outside that the lids open. I would guess that most people would think there are belongings underneath. One thing to consider is that you will need to put foam tape between the organizer and interior trunk panels. The organizer will scratch those panels.
All that being said, I love the organizer. Think of all the small/medium sized items that roll around or slide in a trunk. This does a great job of preventing that. Also, the tubs are waterproof. So, it's a great place to put that thermos or soup container that you don't trust 100%.