MicEd - I don't even understand that setup. The pump pushes hot water into the hot piping and then what? How does it get back?
The Arctic Bill configuration at least has a return line/loop. It looks as though it would send warm water to the cold taps when they are correct? That may not be desired.
I don't think the small-diameter recirc loop I have is galvanized - it's copper. The original/main water piping is galvanized.
From my post in question. You need to read TomFOhio's post as well. {The concern in this particular installation is the layout of the recirculating system and the amount of smaller copper tubing that is part of the recirculation piping. That smaller tubing will increase frictional pressure drop on the suction side of a pump which can cause operational problems. Installing this pump on the hot water outlet and using the crossover valve that TomFOhio indicated thereby decommissioning the recirculating piping, which appear to be in part galvanized, would provide a better and proven system.}
TomFOhio uses the classic installation for these recirculation pumps and mentions the "plastic device under your farthest sink upstairs", aka "crossover valve". The pump takes suction off the hot water outlet and pumps it through the hot water lines to the farthest faucet set where the "crossover" valve is located. That "crossover" valve connects the hot water line to the cold-water line at the faucet set returning the water pumped through the hot water line back to the cold-water inlet to the water heater. The crossover valve is thermally set to maintain the temperature of the water through it at approximately 100 degrees F. So yes, without the additional piping of a recirculating line, your cold water will be lukewarm until cold water from the main inlet to you house flushes out the warmer water.
Sloanbj was concerned about additional piping for a dedicated recirculation system. So, the tradeoff is additional piping for a recirculation system and hotter instant water and instant cold water, or reduced piping with the crossover valve and warmer "instant" hot water and warmer cold water until the recirculated hot water is flushed out by the cold water coming into the house. See the Grundfos diagram below for the "crossover valve" setup.