You're supposed to have some heat in the heater core - that gives you humidity control or reheat. Without that you will have cooler, saturated air, which is not optimum for comfort. In Texas it may be so hot that this is not a factor, but in areas where humidity is very high, like the east coast, it makes a big difference

Tell us, John, where does that moisture go after the heater core boils it out of the air?