Faster absorption is not the only benefit of drinking cold water during runs. Drinking cold water during a hot run also makes you feel cooler. And the effect is not just psychological. The cold water also produces a slight physiological cooling effect, which is obviously important when running in hot weather.
It's not always easy to keep your water cold during hot weather runs. It helps to use a hand-held water bottle with an insulated cover so the warmth from your hands doesn't immediately warm up the water. You can also put ice in your water bottle or partially freeze your water bottle before your runs so the water stays cold as the ice melts.