[adrianmonk]

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.