Heater blowing cool air
The set point or thermostat is just a switch it has nothing to do with the heat in the system unless a high end one. With that said there are possible multiple speed taps on your blower motor and depending on the setup it could be in a higher speed than needed for heat. Normally we run AC at a higher speed than heating but not always. Some systems are dual stage but a 2-degree difference would not be enough to trigger that if you had it.
Providing the model and type of heater you have might give enough information to create a better answer like if it is a heat pump (outside compressor) the air handler inside moves the air a very cold day outside with emergency heat turned off it may not heat as well compared to a gas fired or all electric heater with an air handler. But it is heating, moving air even when warmer than ambient may feel cooler so a thermometer in the duct may show it is a few degrees warmer even though it feels cool. So there can be multiple reasons for your observations both working fine and possibly needing some work depending on the type.