There are some factors involved in this, as
@Ichthys noted. There is also the temperature issue that didn't get discussed after being mentioned.
First, it is true that chlorine will dissipate out of water through agitation. Here In the Vancouver region the water comes from reservoirs in the North Shore Mountains. Several years ago the water authority added "chlorine stations" to add additional chlorine to the water due to dissipation as the water moved along the many miles of pipes. So it is true, but I've seen no factual evidence concerning the level before/after, and it is always a risk that the amount of chlorine may suddenly be increased as Colin as frequently warned, and I will come back to.
[Edit:
@Ch4rlie posted a linkk as I was typing, it may answer this.]
How much will dissipate out by using a spray nozzle is an important question. If minimal chlorine is added to begin with, this might work--I say might. I certainly would not trust this with the level of chlorine in my water. I understand that most regions in NA use considerably more chlorine than is common in the UK for example; there are days when you can smell the chlorine every time the tap is turned on.
Back in the 1980's I lived in Victoria, BC, and the chlorine added to our water supply was so minimal those of us with fish never used conditioners, for years, with no issues. That all changed one summer when the water board increased the chlorine due to some bacterial issue in the reservoir; the aquarists all lost a lot of fish the next water change because they were not aware of this.
I have only twice in the past 20+ years forgotten to add the dechlorinator when I began refilling the tank (via Python connected to the tap), and within seconds the fish in the tank were at the surface at the opposite end of the tank--I knew immediately why.
Bottom line here is, unless you know the actual chlorine level, and have scientifically-based evidence that the "spray" or whatever is sufficient agitation, forget it.
The temperature lowering 2 or 3 degrees would not normally be an issue, but this is only going to work if you have hot and cold water from the tap. In my tanks at 27C I would never do a 50% W/C with just cold water, because the temperature would drop significantly. I don't know if that was being suggested, but it did cross my mind.