Changes only on one system or all related systems when updating a privilege on a role?

Hello

I would like to know if when a new privilege is added to a business role group on one system, would it impact or instigate an update on the other system?     

business role -> priv1-sys1

                          priv2-sys1

                         priv3-sys2             

add new privilege priv4-sys1

Regards

Ian