Copying a Rule over to another Tag Property that Uses Update Variable?

We are converting a lot of cookie cutter sites over to SDK/CJA. We are using the XDM variable data element and update variable action in some of our rules. If I copy a rule that was using update variable over to a new tag property, will this create issues? What happens to the update variable action since it is now pointing to a different schema? Do I have to go in and reconfigure the XDM object in the Variable Editor if the schemas are structured the same and only have different names? For example, Property A has Schema A, Rule A and Data Element A (uses data element type of "variable" which points to Schema A). Rule A has an action of "update variable". I now copy over Rule A over to Property B. What changes will I have to make, if any, if Property B has a Data Element B (uses data element type of "variable" which points to Schema B but Schema B has same structure as Schema A). Will I have to do anything to the copied over Rule A which is now named Rule B, in the variable editor? I hope this makes sense!?!?!

Thanks!