Flowing water fetish
She runs to the sink every time she hears the faucet running because you gave her water in her bowl, but she darts to the sink when she hears it. She appears picky, yet there are reasons why she is drawn to the tap.
The faucet’s design may appeal to her biological urge to prefer flowing water. The cat thinks she’ll be ambushed from behind, making her vulnerable, so she’ll climb higher on the sink where she has a better view and is safer. Flowing water is fascinating, and pawing or hitting the current of water would entertain her.