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They're the same thing.
I guess the point @ectoplasmosis is making is that it's ongoing energy cost rather than the reduced impact of shade, solar film or external shutters.
I can certainly highly recommend AC units but we have solar & battery so have very limited grid usage and even that's with Octopus so renewable.
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As @Soul said, they’re both types of ASHP: one is air-to-water, the other is air-to-air.
Air-to-air units used for cooling are completely fine, but are frowned upon when used as a sledgehammer before tackling the primary causes of solar gain first, using passive methods as mentioned above.
What makes ASHP good and mini-split bad?