Well, color me embarrassed. I did start screen, but with a config other than my usual, so it didn't have a status bar to tell me it's there.
How did I notice? The connection broke, logged back in and ran "screen -RD", and got the old session back.
That was nice. Yay me from earlier today, who was smart, but forgot about it.
Permanent status bar and sane defaults are some of the reasons I switched from GNU Screen to tmux and never looked back.
Lars and friends