Looks like the pump on off issue is settled. I did want to mention though that there's not a lot of fluid in the pipes. Consider that Icemaster Max 4, the tank is 8 gallons. If you are using 3/8" ID tubing (it has 3/8" OD barbs), the volume in a foot of tubing is 1.325 cu. in. which converts to 0.734 fluid ounces or 7.34 fl. oz in 10 feet, which is less than a cup. There and back (20'), that is about 2 cups out of 8 gallons, or 1/64 of the tank. Now there is some fluid in the cooling coils of the fermenters but that's trapped until the valve opens anyway so not affected by whether the pump is on or off to the supply lines. On a large system maybe could be an issue but probably also scaled up tankwise too in proportion to greater diameter lines.
As far as pipe sizes, considering that chiller again, the barbs are 3/8" outer diameter so 3/8" ID tubing to begin with. Several temperature coils I looked at also use 3/8" tubing for under 1 barrel. Plus the chiller is only 3200 btus. I couldn't really find anything regarding the btus on a temperature coil. Doesn't seem like you would really change the pipe diameter much for a system with a small number of fermenters using this chiller. If all the fermenters temp coils were the same size, you need one size of pipe to deliver that many btus to each fermenter singly. Then you need one size of pipe to distribute all of the btus from the chiller. So two pipe sizes max there. My heating system steps down because of zoning and then multiple radiators on a zone. I have 4 zones and 13 rads, with the rads about 4-6000 btus roughly but the furnace is 82,000 btus. Plus the pipes need to go through the walls at different points.
Thank you for the valuable input! I will keep these facts in mind as I proceed with the build.