Remote clients show status as online

Options

I have a number of clients, but two of them are showing a status of online. When I called to discuss it they both said they were not aware of it.  When I end a session I assumed their  Teamviewer software would terminate, but it appears in both of these cases they remain running.  Should they need to close the session when I disconnect, or should it close automatically?  It's interesting that other clients don't function in this way.

I'd appreciate any thoughts on this.  Perhaps it's an option they need to turn off...

Regards

David