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.
Of course, even this tactic isn't foolproof, and it's made rather ineffective by Anonabox's rather glaring flaws, but I can understand the rationale.