This is where I get lost in how Creo manages linked data. If the table does it without rebuilding the table, then any place you use the parameter should work as well. Certainly worth a test or two.
You are aware of how to use the relation dialog to assign parameters to relations, right? Clicking the parameters icon and finding the specific parameter you want to use and selecting it to add to relations?
I am suggesting using the relation method only in that this parameter name should not change where the parameter FID might as you are noting in your previous post.
I have one foot out the door at the moment, but I can test this later if you need furtheer help. Let us know what you find.