I've been diagnosed with a deviated septum, and although I can't remember, and am not finding documentation for what side it is on, I'm currently convinced it is on the same right side as my cluster festivities, as I can't breathe as well on that side.
@dmlonghorn May have pertinent info to contribute here, as when he had some manner of nasal surgery, I believe he experienced something to this effect: His chronic CH was relieved for some months, then returned, with probably a still unresolved question as to whether he has now gone episodic.