Notifications do not work on remote

When using the Remote - SSH extension to open vscode remotely, notifications do not come through to the host machine. I'm pretty sure this is expected behavior but I'm hoping there's a way to fix it. The machine I'm developing on is terminal-only so notifications sent to that machine instead of the host are kind of useless.

Start by reproducing the issue with the VS Code Remote - SSH extension while the development machine is terminal-only, then trace how this extension delivers notifications. Done means a notification from a remote long-running terminal process reaches the host machine.

Written by the indexing model from the issue text.