No you have all got the the theory wrong Noah was in great need of a loin covering so it is evident he used the Sloth as tackle covering so everywhere that Noah went the Sloth went and moved faster went it started drizzling . Old Noah had a problem though when he got drunk the Sloth decided to climb off just as his family looked in to see how the home brew kit was coming along which goes a long way to explaining why his off spring had a gander at his nakedness.
Everything in the Bible is explainable !