As is, there are a couple different paste behaviors for copying a component in Fusion.
"Paste" makes a fully associative copy of the component: any modifications to the original will be reflected in the copy and vice versa.
"Paste New" makes a partially associative copy of the component: any modifications to the original that occur in the timeline BEFORE the copy are reflected in the copy, but any changes to the original that come AFTER the copy in the timeline are not reflected in the copy.
I propose a third paste behavior: "Paste Unassociative". "Paste Unassociative" makes a copy of the original in which NO changes in the original before or after the copy feature in the timeline are reflected in the copy, and vice versa.
This is especially useful if you have a template component driven by some user parameters and want to make several coexisting versions of the template each with different parameter values. This behavior can be acheived by exporting the comonent as a .SAT and reimporting it or by importing it into a different design and then breaking the link with the original design, but neither of these solutions are particularly clean or elegant.