Publishing the UseGlobalColor property of TAdvShapeButton would be a good idea. Please keep it in mind.
This is designed to be used from the TAdvToolBarPager parent component, we think it can be confusing and lead to incorrect combination of settings when published. What exactly do you have a need for this?
I see. Is there an another fast way to change TAdvShapeButton in design time?
Please right click on the TAdvShapeButton and from the context menu choose to Change color.