Please allow me to explain a bit.
First, I misread the original post. I thought he was talking about using the chiller concept to overpower a TEC mounted directly on his CPU. That was not the case.
Yes, you can cool the water a bit with the kind of concept Amy showed in her diagram (nice work!). Maybe my water blocks weren't as efficient as those Amy indicated, but I followed pretty much the same overall concept she did with two 72 watt TECs at 14 volts. I DID see a difference of maybe 2-5 degrees F. But that was all. Maybe that kind of difference is sufficient for many. Maybe I was expecting too much.
I just did not see the kinds of cooling gains I had been hoping for - namely temps in the mid to upper 20's at full load. Perhaps I just had unrealistic expectations.
If we live long enough and learn enough, maybe we become wise.