I’m not the plugin developer, but I doubt this would be added as a feature.
What is considered “desktop”? As it stands, it is anything wider than the width in pixels you specify in this plugin’s settings.
That means you can take your browser window, drag the side in and out to make it narrower and wider, and switch between the two “desktop” and “mobile” versions again and again.
For it to do what you want, it would have to reevaluate every time the screen size changed, and then dynamically add and remove the Document Object Model (DOM) elements as needed. The computational load involved in that would be far worse than the incredibly tiny hit taken from having the redundant content hidden in your page’s source.