The name should only change if you (or another admin) change it. For the sake of argument; an admin could just as easily delete the role, the ID would be lost, and it would have the same effect as changing the name, although it would be unrecoverable.
I’m not sure I see the benefit of using ID vs name in the scenario you are describing. 
Additionally, the workaround I described above requires writing the role IDs directly in the action, which is not an elegant solution, and could cause pain down the road.