Thinking from his perspective, he doesn’t understand why he can have access to a large space only some of the time, especially because he can see the larger space, yet there are bars keeping him from it. Yes, he wants more time out. Rabbits don’t think of time outside their pens/cages based on quotas. Even if you think he’s had plenty— they want to be out all the time, because they are rabbits. They don’t like to be confined and not have freedom to choose where to go. It can be frustrating.
People have had different methods of dealing with it. One is making the “pen time” align with when the rabbit usually sleeps, so they aren’t as bothered being confined, another is coordinating feeding time (pellets/veggies; depending on your rabbit’s age) with confined time, so he is occupied and busy.
My solution, which is a common one that requires some work, was simply letting the rabbit be free-roam all the time. I tried having Wick in his confined space over night, but he would constantly tug, so I finally just let him be free-roam 24/7, and if I need to sleep, I’ll shut the bedroom door.
The answers provided in this discussion are for general guideline purposes only. The information is not intended to diagnose or treat your pet. Seek the advice of your veterinarian or a qualified behaviorist.