Maybe it's the fact that I'm a dude but I would be happy using a douse of dish detergent to wash my clothes. But then again, I am of the uncivilized portion of society that doesnt separate my colors and whites. It just doesn't matter to me if my socks are pink or something. If people judge me by my socks, I have bigger issues I need to work on.
On another note, I would never expect consistency with what type of detergent is supplied in a unit. If I had special needs I would feel the personal responsibility to ensure that I brought the correct detergent or whatever to ensure no one got sick. Just as my wife will never rely on hotel or resort bath products, she brings her own. If our destination has somethin she can use then its just a bonus.