In theory, yes, but in practice basically nobody in Texas has dehumidifiers. AC does the job well enough.

The situation you're describing can come up occasionally on mild days, but (unfortunately) Texas doesn't have many of those. It tends to go almost straight from winter to summer and vice versa.

On the rare occasion when I feel that it's too humid inside (a rainy day in spring or fall), I just turn on the AC for half an hour. It wouldn't be worth it to have a separate system for that.

> But if you set your thermostat to 75F (24C), and your in-door air temperature is ≤75F

Which will never ever happen during the daytime in Texas in the summer.

If it's 100 degrees outside and you set the thermostat for 78 degrees the AC will have removed most of the humidity at that point.