Privacy as a policy, yes. A marketing director should be expected to know the companies various policies when it comes to how it handles customer data, because part of their job is to use that information to accommodate (and defend) its public image.

But that is different from knowing how the software actually works, what settings you need to turn on to achieve which result, and being able to explain why it is working the way it is. That is more of an engineering function, and knowing the details inside out is the job of not marketing, but of user education and training.