TL;DR
Just implementing IUpdateable or IDrawable will do nothing.
Instead have GraphicsSubsystem inherit from the DrawableGameComponent class, and override the virtual Update and Draw methods. Then all you have to do is create your GraphicsSubsystem object and register it using Components.Add(objectName) on the Game class.
If you wanted to do the same thing using those interfaces, you'd actually need to implement IGameComponent, IUpdateable and IDrawable, which is exactly what DrawableGameComponent already does. And of course you'd still need to register the class on Components for it to do anything.
Long Answer
Just implementing an interface does nothing other than guarantee your class will have a certain set of methods/properties/events (and be compatible with anything that expects that interface).
XNA has a components system where you register a component at the start of your game, and the Initialize/Update/Draw methods will be automatically called back for you, along with a series of other functionalities (such as controlling the update order or hiding components).
This system is related to three basic interfaces that you should know: IGameComponent, IDrawable, IUpdateable.
You can create your own class and implement from any/all of these interfaces and this is what they do basically:
- IGameComponent - Has an Initialize method and has the added catch that you can only add a class to Components if it implements this interface.
- IUpdateable - Has an Update method. If an IGameComponent also implements this method, then Update will be called for you automatically.
- IDrawable - Same as IUpdateable but for the Draw method.
But since it would be troublesome to implement these interfaces everytime, XNA already provides two implementations which you can just inherrit from and they're ready to go. They are:
- GameComponent - This one implements both IGameComponent and IUpdateable but not IDrawable. Use this for components that have no visual representation.
- DrawableGameComponent - Inherits from GameComponent and implements IDrawable on top of it. Use this for components that have a visual representation.