Speed of the product will depend mostly on the speed of your available internet at each location. You can take a test drive on a free trial.
The big advantage of QBO for multiple locations is that you only need 1 subscription for 1 or up to 5 users plus 2 accountants all at same price. For the product you have now you need to buy a license for each location computer you use plus cost of hosting the company file unless you self host. In addition desktop software cannot be easily used in the field, whereas you can access QBO from any internet device including phones and tablets.