That seems to be a bug, indeed.I used the booth in the spa and my sprite now faces one way and sometimes swaps between a floating dick and full body. I tried it on both options and got the same result.
As a workaround (there are most probably several other ones), go upstairs and when entering/leaving the spa, you'll be asked to remove (if you enter) or put on (if you leave) your clothes. Change your outfit as proposed, and after that the sprite of your character should be OK.