Interesting idea Unimogbert. Can you share more info, pictures?
Have you taken any measurements to support your theory? Any sort of anecdotal evidence to share? Not trying to be argumentative, I'm truly interested in your idea.
I have done similarly with large scale industrial A/C, it undoubtedly works.
The electric power used by the compressor declined, but only slightly, AFAIR by a few %
The cooling output increased significantly, one could watch the chilled water temperature drop significantly.
The purpose of A/C is of course to remove heat, and the evaporation of water takes away a lot of heat.
Despite these gains it is probably not a good idea on a regular basis, as the water evaporates it leaves behind lime scale and other impurities, this fouls the condensor and reduces the efficiency in the long term.
Rainwater would be better than most city water or well water.
Take great care that water can not enter electrical parts, outdoor equipment is of course designed to withstand rain, but might be damaged by water sprayed sidewise and potentialy into places that rain can not reach.