For just regular cleaning or dusting just a damp cloth should do just fine. If you need to do a little extra cleaning, some mild dish soap and water will work perfect.
Wax can also be somewhat sticky, and finger prints can stand out. Dirt can easily adhere to it making it harder to clean. Also, wax is suggested to be reapplied about every year so it is not a low-maintenance option. Wax is used typically more for looks rather than as a durable protectant.
Toady lets discuss veneer repairs on furniture. Occasionally you will not have the missing veneer which there are other options for like getting a veneer pack or using bondo depending on your project.
If you paint furniture will you lessen the value. How to find furniture value.