Multiple use cases, multiple solutions!
I use dvtm all the time with abduco, so I can easily detach a local session and reattach it remotely later.

To connect remotely, I use ssh +dvtm all the time. I have no use for any graphical application, as I only administer my remote servers with no X installed.

For work, we also have an OpenVPN tunnel that must be up before you can ssh. For some teams I also set up a machine to proxy their connection from the VPN to the production (this adds the AAA bit to their production access), which does HTTP / FTP and SOCKS proxying, so they can use their local web browser / mysql / jconsole / whatever and still have access to the production as if they were sitting behind their desk. As they have laptops, RDP to a local machine isn't an option.