When viewing a Contact record in Desk it has this indicator when they are associated with multiple accounts. In this example the Primary Account is Core Sound Imaging, but I see there are 3 additional associated accounts. 

You have no such indicator in any of the ticket views. They display the Primary Account name but you have nothing visually reminding you to check what other associations they have to ensure you select the correct one. I will really like to see this same functionality carried over from the Contact view in the tickets as well.