I've been working with Teamviewer for a few years and I find it a very trusted service as we have now removed all RDP from our services.
One feature I would like is a Note Posted on the Blank Screen for example : This Terminal is under Maintenance or We are upgrading this terminal please check back soon.
I often have to manage 30 - 40 pc's a day and when they see a blank screen they just reboot the system and I have to start over again. I have left notes for staff (as they all change shifts etc..) but they just close it and reboot all the time.
This Feature would be Editable (so you can change the Text) and I think would offer tech support staff more time to get their work done.