Maybe. If you sink in water on Earth, you’d sink in water on the moon too. But, the water would certainly slosh around more and be more difficult to keep inside the bathtub. The water’s surface tension of water becomes more of a factor, too. That rabbit might be quick enough to hop on and off the bathwater’s surface without falling in.
Only tricky part is saying in the bath due to gravity
Maybe. If you sink in water on Earth, you’d sink in water on the moon too. But, the water would certainly slosh around more and be more difficult to keep inside the bathtub. The water’s surface tension of water becomes more of a factor, too. That rabbit might be quick enough to hop on and off the bathwater’s surface without falling in.