It would work exactly the same for the mobile skin as for your default style.
What that plugin does is register variables used by the languagechooser - this is only needed if you move the language chooser out of the footer temaplte as the variables are already registered there.
Is that plugin already active on your forum? If so, you can move the languagechooser to your navbar template in the lightweight style and you will not need to add a new plugin. If you move it to one of the other templates, just add a new plugin and change 'navbar' in the code to the name of the template you moved it to.
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