There is a principle – you do not have to spend money (or time that is equivalent) on sofek medrabonan. for example, R Feinstein says that you were not able to immediately find out whether a store is owned by Jews and whether it sold chametz properly, you can buy from that store after Pesach instead of spending time investigating it. I wonder whether this can be used here: say, I am not sure whether I’ll end up seeing inappropriate pictures if I venture into a risky endeavor of ordering airline tickets, I don’t have to spend more time & money to order tickets over the phone. Of course, if I am such at person that might start calling 900 numbers under those pictures, then it is isur meduoraita and I need to be TAGged immediately.
