Not sure if I would use teak oil on a shaving bowl for a face application. I have used Watco products and like them a lot for marine applications. Teak oil is not made from teak, it can be hundreds of different mixtures of oils, varnishes, etc. pending on name brand. With this bowls function being used on your face I would lean toward an oil you would put on your face or at least an oil you wouldn't mind eating. An olive oil or vegetable oil comes to mind.
No scholar here, just thinking.
Rick