Not true if a phase change occurs, i.e. evaporative cooling.You can't cool something to LESS than what the media you are using to cool that item is. If the air temperature is 30, you can't use that 30 degree air to cool something down to 25.
Yes humidity has an impact, but the air won't take any more heat away from that item you are cooling once an equilibrium is reached.
In short, 30 degree air can't make any inanimate object 25 degrees.
But we weren't talking about evaporative cooling like those water fans that cools air by evaporating water.Not true if a phase change occurs, i.e. evaporative cooling.