That idea doesn't work, though. Most devices/OSes remember your last access point, and will, upon a Anonabox failure / deauth / whatever, happily reconnect to y

That idea doesn't work, though. Most devices/OSes remember your last access point, and will, upon a Anonabox failure / deauth / whatever, happily reconnect to your regular (non-Tor!) WiFi AP. That instantly compromises you. Changing the Anonabox SSID doesn't change that.