Ok the numbers are in:
Hot water at the kitchen sink 40' from hot water tank:
Test was as follows: Ran the water for 2 minutes to get it good and hot at a stable temperature, then turned it down to a trickle and stuck a thermometer into the stream. Next two readings were to measure temperature drop in the pipes over time. I ran the water for a second or so to clear the 4' or so into the basement then a trickle and measure again. Very scientific
.
Before insulation:
Hot water after 2 minutes run time: 108F
After sitting 5 minutes: 92F
After sitting 10 minutes: 84F
After insulation installed:
Hot water after 2 minutes run time: 114F
After sitting 5 minutes: 104F
After sitting 10 minutes: 98F
So it's plain to see that the results show an improvement! Not only does it show up in the numbers, but by feel too while doing dishes. No longer does the hot water cool so much between rinses. Feels nice and warm on the hands the whole time I'm washing!