Yes, your husband would have more ALONE time with you if there's a buddy for Bunjee!
When you do go out, they won't be home alone, and they can keep each other company, occupied, and have mischievous fun together. If you have free time in your life now to stay at home, getting another one now will be easier than if you have a 9 to 5 job where you won't be home as much. Good luck on convincing him!