This nails it. The fact that the app interface looks exactly the same whether it's running locally or in an SSH session means I don't have to learn it twice. And while some GUI apps (VS Code for example) can be run remotely and still look the same, it takes a certain amount of ceremony to set that up. And worse, that ceremony has to be done for each app and is different for each app.

Running TUI apps over SSH isn't ceremony-less either — you have to set up SSH keys and copy your public key over into the remote end's authorized_keys file — but it's ceremony that you would have already had to do anyway to get access to the remote computer in the first place. And once that ceremony is done, you can now run any TUI (that the remote computer has installed) remotely without any more ceremony.