Yep! I appreciate the detailed explanation. I myself lived in Europe for a number of years in the (now) distant past. So I am familiar with why it's not a bathroom but instead a W.C. (stands for "water closet", or a room with water for that type of need). We actually have the same types of facilities in the United States and Canada, such as at indoor shopping malls, airports, public parks, and even rest stops (small government-run pausing points during a lengthy driving trip of several hours). I've never seen any of those with baths, and they also typically don't have showers, either, although sometimes they do. We refer to those normally as restrooms — places to do that business during a break. Although, I will say that with common laziness in parlance, many Americans might say "bathroom" with the same meaning.