Clever, yes. And fairly well-reasoned (if decidedly tongue-in-cheek). However, for the paranoid and germophobic (including myself on both counts), this entire line of reasoning leaves out the most important component of the system: the lid.
Extra effort be damned, the lid must be closed! And if my anecdotal experience is any indication, women are far more likely to leave the seat down and lid up than men are to leave everything up vs. closing the lid.
C’mon people, the lid is there for a reason! (Several, in fact.) Use it! Besides, we all know the average American leads a far too (and increasingly) sedentary lifestyle. You need the exercise.