If I recall correctly, reducing greenhouse gas emissions from refrigerants is one of the top opportunities highlighted in Drawdown [1].
Anyway, I'm sure the combined electricity usage is a bigger issue than the refrigerants. If this (and other) technologies can help reduce that, that would be great.
Mind you, there's a few things that can already be done to reduce power usage of cooling solutions; better insulated buildings (with shutters, awnings, and heat-reflecting windows), chest fridges, evaporative coolers, etc.
There was a video about this clay fridge (https://mitticool.com/product/mitticool-clay-refrigerator50-...) that cools its contents (by 10-15 degrees compared to room temperature) just from evaporating water; analog tech like that could be used anywhere to help cool things down.