I assume your copper pipes are a heat sink to move heat from the outside of the tower that makes it through the insulation down into the cooler. I have to tell you, that is absolutely inspired.
I have a three-tap tower as well, which I heavily insulated. The quantity of beer in the lines is small relative to a full pour, so I never notice a temperature issue. However, I do have a burst of foam with the first beer from the tap and wondered if cooling the line might solve that issue.
Glycol lines are too much work but a copper pipe is easy. I’ll give it a try on one of my lines and see if I notice a difference in temperature or foam. Thanks!