Loading and saving setups is covered on P.142/3 of the current manual.
A saved routing also includes the routing related gain settings. But, it is possible that when you think you are loading/saving routings you are actually doing setups instead (look at the top right of the screen – this will tell you).
You are essentially correct about saving the list of things to the card. If these are saved and later reloaded, the machine should be restored.