A spokeswoman for Cornwall Council said it had received no formal notification of Collin Brewer's intention to resign, despite reports that the independent councillor has quit his job.
Cllr Brewer faced calls to go yesterday after it emerged he had suggested that disabled children "should be put down" to save money.
More top news
Guillier conceded a "severe defeat" defeat to his supporters as the result came in.
The outage struck Hartfield-Jackson Atlanta International Airport at around 1pm local time, stopping all outgoing flights.
It will be a chilly day for many parts with the highest temperatures, about 10 Celsius (50F) in the far northwest.