Different types of pizza ovens offer varied benefits. A wood fired pizza oven can generally not be used for cooking cookies. This is because the temperature cannot be controlled once the fire has been lit unless the source of heat is removed from the oven. If you try to bake cookies in a wood fired pizza oven, the cookies will melt away due to the high temperature.
However, an electric pizza oven can be used to bake cookies because its temperature can be regulated. The heat at the top and bottom will be decreased in baking these cookies since they require less heat to cook compared to pizzas. Therefore, this is all dependent on whether the heat energy in the pizza oven can be increased or reduced at anytime by the user.
See: How to cook with a wood fired pizza oven