It's annoying to expand the properties every time. For example the size property, every time i expand it to show the width and height, it gets time consuming overtime doing it for every instance. How much more for expanding every expandable property of each object of each instance if more properties are added later in C3.
So i think having it global rather than local is the ideal way if not, then it's useless. I don't even use it since it's time consuming... I rather just double click the size property left or right to get the width or height.