Sliding from one end of the bath to the other sounds like a nightmare for me. The floor would probably be cold as fuck. That's unless there's some kind of underfloor heating, of course, but I highly doubt there is one from how the floor looks.
What a weird-ass chapter. But I feel confident the "strange old man" Kururi bonded with in the bath is none other than the king himself. I'm just surprised this didn't pop that punchline in this chapter. I guess the joke's payoff is next chapter then.