How else can snowy/icy conditions disrupt airport operations?
There are multiple ways by which snow can affect the operation in an airport.


Snow (and ice) in runway can affect takeoff by absorbing energy and can impact the aircraft after being kicked up by tires.
During landing, snow or slush in runway can reduce the deceleration rate by reducing friction coefficient, sometimes causing hydroplaning.
The runway length requirements in case of dry and wet conditions are different. This means that some aircraft cannot use the available runway in case of snow/wet conditions.
The requirements to clean the runways (and taxiways) continuously means that the flights will be delayed.
The snow may reduce the visibility of runway and terminal visual markers.
Ramp operations may be affected due to snow/ice.
Beyond a certain level of snow, the airports have to be closed as the aircraft cannot takeoff/land.
Also, it will be snowing in areas around the airport too. This means that there will be difficulty for people in reaching airport in the first place.


Also, see the FAA advisory circulars AC 150/5200-30C - Airport Winter Safety and Operations and AC 91-6A, Water, Slush, and Snow on the Runway