As someone who is having similar troubles, I /think/ the difference is 'how did you respond to the Rat King discovering Scrap exists'.
I was honest to the Rat King (and then hurriedly saved Scrap when diplomacy went south) and also cannot seem to access the bathing stuff. I /think/ you have to lie to the Rat King if you want to progress further at the moment, so we may be out of luck for a bit ^_^