Mr McMullan added it was clear the bus driver knew the small road well which helped avoid a major incident.
"As I understand, the bus very slowly glided or drifted towards the wall that it did eventually hit and thankfully nobody was hurt or injured or traumatised," he said.
"But it was, what I would describe as, a near miss."
The Department for Infrastructure (DfI), which is responsible for gritting the roads, said it salts the main through routes which carry more than 1,500 vehicles a day - meaning that 28% of the road network will be salted.
"In exceptional circumstances, roads with difficult topography carrying between 1,000 and 1,500 vehicles daily will also be salted," a statement added.
But North Antrim assembly member (MLA) Philip McGuigan said there should be some flexibility in this criteria.
Translink said a bus carrying schoolchildren to Cross and Passion School made "minor contact with a wall amid icy conditions" on Wednesday morning.
“Translink engineers salted the road and the bus was checked and able to continue its journey. There were no injuries reported.”