Yes, home additions are always worth it, especially when they are done right. You are adding value every time you add to your living and storage space. Adding a room to your house can increase your property value by 15%. Including other major additions can increase the likelihood of you getting a better selling price.
Besides adding to the value on paper, you increase the utility of your home. With the extra space, you can set boundaries. For example, the study room can be used for work, while the living room for play. You can focus on your tasks without any disruptions. Ultimately, a new room is worth it, no matter where it is.