Hollywood is not wrong that moisture loss is bad for bread, it’s not the primary reason to avoid refrigerating bread. The science: Refrigeration speeds up the starches’ return to a more organized crystalline structure (also known as retrogradation), which means it hardens (i.e. stales) far faster.
Unrefrigerated bread does typically get moldy faster. The trade-off is longevity over texture, and many consumers are more concerned with stretching their bread (and their metaphorical bread) as far as possible, especially these days.
To which we say, fair. And also: freeze! Becky wrote a helpful guide to storing bread in that other section of your favorite appliance. She says the freezer “serves as a kind of pause button, meaning fresh bread you move into cold storage can come out almost as good as the day you put it in.”
Serious Eats also covered the issue to the same conclusion a while ago: https://www.seriouseats.com/does-refrigeration-really-ruin-bread
I typically keep it at room temperature. And if for some reason I’m not planning to eat it in the near future, I either freeze it (homemade) or toast it (store-bought). Toasts are always welcome in my plate, and I can convert them into breadcrumbs if necessary/desired.