No. It's extremely sophisticated to measure running economy. I participated in a study at Vanderbilt a couple of years ago to test running economy in the same shoe with different midsole densities. I had to be wired up to a heart rate monitor and an oxygen mask, do a warm-up run on a treadmill and then run at my chosen comfortably fast pace for, if I recall correctly, five minutes. Then, I'd get a few minutes off and repeat the test with another shoe density at exactly the same pace.
I was surprised to find that the shoe that felt the fastest was not the most economical, but the difference for me at least was very small.
Interestingly, I noticed that my footstrike changed slightly to accommodate the change in forefoot firmness. I'm a forefoot striker so the changes in heel firmness made no difference at all.