MOF behaves like a sponge, but wouldn’t feel like a sponge. Squeezing it would be nice, and could definitely eliminate the hassle of having to heat it up.

As for the energy, the thermodynamics of dehumidification basically requires an external energy source. To cool the air, you have to have a heat engine which removes the active ambient thermal energy out of a system. Such a system would look like a traditional dehumidifier hooked up to solar panels. The issue with that is the associated capital expenditure costs to build up such a system, as that already costs significantly more than “some random metal sponge” (assuming we could make it at scale).

For now, the only ways to cool the air down would be to use traditional refrigeration techniques, or peltier coolers. Peltier coolers are super inefficient, and traditional heat pumps require alot of energy. When in a low humidity environment, the coefficient of performance for heat pumps goes way down because the outdoor temperature could be very high, and the humidity very low. To reduce the air temperature to below dew point would mean cooling the air to near 0c, which is pretty much putting a freezer in a desert.

Solar energy is free, but absorbing it and converting it into useful work takes a good bit of engineering effort to make happen. What MOFs and similar materials can take advantage is being able to be left out in the sun like a sun dried tomato and covered in a black painted cover. Couldn’t be simpler!