It's a trend, for some reason. I really, really hope she used natural biodegradable and hypoallergenic water based dyes, they do exists. But the bathtub tells me this poor soul didn't have that luxury.
The sane people use those that are more like a water spray and just tint the fur some fun color for a while. Then naturally wears off or washes up in the next bath.
What? That's just a normal bath/shower setup. The spout is for running a bath, with a pin on top to divert it to the shower head for showering, the lever works to control hot/cold water for the shower/bath, and the circle at the bottom covers a hole that drains excess water during a bath to prevent overflowing. Do people not have baths anymore?