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No it does not, it has to do with the cooling system of the engine and the heater. Refrigerant is used in the Air Conditioner.
through a cracked heater core - possible.
Blown Heater Core - The heater fan blows past the heater core and if it has a hole in it your antifreeze ios being blown onto your windshield.
Antifreeze will be leaking in the floorboard on the passenger side, there will be a smell of antifreeze through the vents.
Leaking heater core.Leaking heater core.
It sounds like the heater core is leaking. Check for the smell of antifreeze and that will confirm the bad heater core.
it could be the heater is leaking!
It could be a partially blocked heater core, a faulty heater valve that allows the coolant through the heater core or it could be a faulty water pump.
If the heater has a sweet smell it could be that the heater core is leaking engine coolant. When the leak gets worse you will have a wet floor on the passenger side and the windshield will fog up when you turn on the defroster.
heater core
Most likely the heater core is leaking. Has to be replaced.
Probably need to add antifreeze. Check the Radiator not the overflow tank. If you are low on antifreeze it will not circulate through the heater core.