This appears to because the [module will only be executed once][1]. Variables assigned directly inside the module will retain their initial value and won't be re-evaluated when accessed later.

To re-evaluate a variable, define it inside a function and call the function from wherever you want to access the current value of the variable.

For example, in the module you might create a function to return True if the <kbd>W</kbd> key is pressed:

    import bge
    
    def is_w_active():
        return(bge.logic.KX_INPUT_ACTIVE == bge.logic.keyboard.events[bge.events.WKEY])

Then when this is called from a script (or anywhere else) like so:

    import bge, keyboardmodule
    
    print(keyboardmodule.is_w_active())

it will return True or False accordingly.

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  [1]: http://blender.stackexchange.com/q/10769/599