Just thought that I would say. I have been homebrewing for a while now and finally built a wort chiller. Quite easy, and purchasing everything new from Lowe's only cost about 25 bucks, using my exsisting water hose.
I normally put the lid on the brew pot and stick it in a keg bucket with cold water to cool it. Takes 1 to 1-1/2 hours to cool my wort. With my new wort chiller, took less than 10 minutes and I was able to pitch yeast, thus being done. I dont think it makes a difference in how fast you cool it, if it is covered, but my yeast became active really quick. Less than 24 hours, and is active as hell. Not the first time doing this batch, same recipe, yeast, ect.
Just thought I would share, Joe