This exercise is one that rabbits do with each other all the time. Certainly they share physical contact, but not necessarily 24 hours a day. Rabbits are with each other even when they're not actively doing things together. Although he may not ask for attention from you, your rabbit may crave the company of a rabbit friend. If your goal is to become closer to your first rabbit, you should be aware that adding to the family sometimes has the opposite effect.
Some rabbits are aloof toward humans but very affectionate to other rabbits.
You may find that your new bunny has stolen Flopsy's heart. With all her emotional needs met by the new rabbit, Flopsy is more aloof than ever toward you. I eventually came to accept that Oscar was Trixie's rabbit, not mine. Fortunately Trixie allows me to shower affection on her, so everyone is happy. This view overlooks the many demands we make of the animals.