of course they have the right to set their own rules and conduct their business in whatever way they see fit.
However, citing privacy concerns and having non obstructed face pics all over the internet (whether you currently advertise or not) makes no sense.
The pics are out there, anyone can find them. Perhaps this is something that the SP's have overlooked, I don't know. If it is such a major concern perhaps this is something they would want to look at addressing.