If Marlene is the only member of the queue the only benefit to doing this is that the ticket is locked to Marlene.
All other aspects of notification are the same for Marlene, whether she "owns" the ticket or does not.
It won't make any difference to the customer if Marlene is "owner" until Marlene replies to the customer, at which time Marlene will automatically be the owner of the ticket and lock the ticket.
Until Marlene starts working on the ticket, for instance, clicking lock, there's no reporting benefit either.