indeed, mine will also jump in the bath and drink from the running bath tap, obviously turned on to only a slow trickle, otherwise their feet get wet and they leg it!
My previous cat would never drink from anything except a dripping tap. Some mornings I'd be just about ready to leave for work and I'd find him sitting in the bath waiting for me to turn the tap on. Used to leave the outside tap dripping if I was away for a while.
My current cat prefers to drink from the top of the full watering can I keep outside (she is 17 and has some kidney problems and drinks a lot).