Want that an argument between Joey and Chandler in friends? Chandler's position was the same as yours, Joey's retort was "Next time think about the last thing I wash and the first thing you wash."
Problem with this is then you end up with body hair and pubes all over the bar of soap which is disgusting. I have a family member who does this and it's really unfortunate on the rare occasion I have to share a bathroom with them.
That’s why you wash in the right order. Head > arms > torso > legs > pits > crack > let the soap sit for 24 hours to let it “heal” and disinfect its self.