Honestly, what Disney should do is cut out all the inappropriate jokes they throw in (such as the “wash where it doesn’t show” joke in Snow White), because throwing inappropriate jokes in family movies insults the audience’s intelligence and makes the adults seem like perverts.
The “wash where it doesn’t show” joke is only as inappropriate as you want to make it. I never took it as him asking if he had to wash his nether-regions and I don’t think it’s intended that way.
He’s asking if he has to “wash where it doesn’t show” because he’s lazy and doesn’t want to wash any more than he has to. Why spend time washing a part of your body that nobody is going to see? That’s the joke.
My mistake, TV Tropes listed it under “Accidental Innuendo,” not “Getting Crap Past The Radar,” in the YMMV page for Snow White, so I edited my comment. But I still feel that inappropriate jokes shouldn’t be in family movies. I went too far by saying that Disney should cut out their inappropriate jokes. I actually feel they should, from now on, have clean adult jokes in their movies, not dirty ones, and not alter the jokes in their past movies. However, I’m okay with when the dirty adult jokes in family movies are part of the source material, especially the “snozzberries” joke in Willy Wonka and the Chocolate Factory.