And sad to say, that didn't work. The computer is still telling me that Safari can't establish a secure connection to the server.
And the fan thing and System Preferences are still telling me that I'm connected. Though I notice for the first time that at the top of the column, there a notice in grayscale that alternates between saying "Wi-Fi On" and "Wi-Fi looking for networks".
Though I'm not sure that's significant, because it's always scanning for other networks.