They might have built-in dressers/drawers/other units in their closets.

HGTV is not real life. It doesn't even imitate real life.

I have two small chests of drawers in my bedroom that before I did a pax system were used to stow clothes but now the drawers are empty but I have not found pieces to fill their void. Now that I stopped using dressers I will never go back.

In the closet. In newer houses closets tend to be big enough to hold the dressers and this is the trend. Hard to replicate in older homes with limited closet space!

when we built a new house I put the dresser in the closet. It is nice to have all the clothes together. Wouldn’t have been possible anywhere else I’ve lived

Keep in mind that on HGTV they are on a budget so a lot of things that might be used in a room is not added or they don't have the space. Don't you ever wonder where is the TV? Or they remodeled that room and used up all of the budget but now what does the rest of the house look like.