I came across this exact thing when researching air conditioning. And since I was interested in a good soltution for the tropics these Yak'chals as they're called are basically useless. The tropics regularly have dew points of 26°C and above.
It can kinda work with an elaborate setup and a (liquid) desiccant cycle but in the end you still want the evaporation cooling outside, especially in the tropics where you have legionella practically instantly if you humidify anything indoors. And that will tank the efficiency. But it kinda works. The more humid the weather the hotter the regeneration of the desiccant has to be to work.

Video 1 Experimental setup indoors to show the concept
Video 2 Solar setup outside