The area you have been given exclusive use of is YOUR now, I cannot see any advantage in adding it to the title. It cannot be transferred back to the common area unless you agree. When you sell the property the exclusive area remains with the lot and the new owners inherit this area.
Transferring it onto your title is all bad news especially from a cost perspective and would not increase the value of your lot 1 iota. Your lot might be asked to pay more into the sinking and admin funds as well as pay an increased insurance premium (this could have been a condition of being given exclusive use of the area and if it wasn’t you should quit while you are ahead).
Anything you construct in this area needs Strata approval whether it’s exclusive use or lot property if visible from outside the lot.