I'm going to ask what the volume cooled was? And was the refrigerated water used as top-off or just a bath?
When I was doing partial boils, I would do that. I would end up with roughly 3 gallons post boil, I would ice bath it down around 100 or 120, depending on how patient I was that day. I would have a couple gallon jugs water in my freezer, getting as cold as it could without being fully solid. I didn't even mind some slush / ice crystals in there. Pour 1 gallon into the fermenter, add the lukewarm wort, then top off with the second. It would usually end up somewhere around 70degrees.
Since I went to full boil, this is not an option. I would spend a couple hours minimum cooling it down, several changes of water etc.
I built a wort chiller this fall, and get things to 60 - 65 degrees in 15 minutes.
You tell me which is better. short time, not as much water used, or spending all that time chilling.