For anonymous assignments, it would be nice to preserve the ability to use the "Message Students Who" feature. For example, our instructors would like to send reminders to students who haven't submitted an anonymously graded assignment to remind them to turn it in. Or, in general, if they'd like to send a particular message to students in any of the available messaging categories but still preserve anonymity. As the screenshot below shows, while an assignment has the option checked to grade anonymously, the ability to message students is disabled.