Regardless of the thickness if the filter gets overly restricted from debris it will cause low air flow thru the cooling coil, this in turn allows ice to start forming on the evaporator coil. Once ice starts to form it often escalates to blocking the air flow and causing other problems. In the winter it can cause your furnace to overheat and shut off on safety switches in the equipment.
Things you can do: Change / Check that Filter every 3 months
Another culprit causing low or no air flow is the air handler/furnace blower motor, should the motor stop turning or if the squirrel cage becomes blocked air delivery stops or diminishes and once again the evaporator coil will freeze adding to the problem. Paper, animal hair, dust and dirt can collect in the blower compartment and cause this, or the motor can fail outright.
Things you can do: Have preventive maintenance done in the fall and spring
Contact ABC Heating & Air for questions or to schedule your maintenance/preventative call.