Also, jsherlock, out of curiosity... would you describe this "green apple" flavor to be "fresh and fruity" or more of an "acetic‐cider" (the later being unpleasant).
I ask this because if this flavor was produced anaerobically, e.g. without O2 present, than it would be fruitier than if it was produced via the presence of oxygen (O2 pickup when transferring or bacterial spoilage).
I'm just asking so we can help with your process.
Either way, according to George Fix, the long, cold storage of lagering allows for a more or less complete reduction of acetaldehyde to ethanol, which is what you want in the end.