I see - I would always prioritize responding to people first prior to registrations so that they know they are all set. It helps avoid people waiting around for a confirmation or response from us.
Fully clearing inbox is an opening procedure step so if there are a bunch that will take quite a bit of time, I'd see if you all can divide and conquer (Julie respond to customers, Indya/tina process registrations, etc) so that it still gets fully cleared before we start on the rest of the tasks for the day