You propose an entirely new mutation of the JFK conspiracy theory, as far as I'm aware. I'll need you to lay it out for me.
Probably about every theory has been proposed, the nitrate (paraffin) testing, did show that on his hands; but none on his cheek, leading many to say, LHO did not fire a rifle.
(This website looks left leaning, but it is just this issue I am looking for of which I read this)
“In addition, Oswald provably didn’t fire a rifle that day. His cheek was tested for nitrates and came up negative.” - http://realhistoryarchives.blogspot.com/2007/06/reclaiming-history-from-bugliosi-again.html