I think that there is a detectable time difference, depends on tires, tire pressure, hills, frequency of stops, road surface, gearing, etc. Each route would have a different time differential.
When I am coming home after a 20 mile exercise ride, when I start from the next to last stop light from home, if I am on my Nomad with 2.25 width knobby tires, when I get about 200 feet (roughly 65 meters) from the last light, it turns red and I have to wait about two minutes for it to turn green. But if I am on my old Columbus Tubing Italian bike that weighs 15 pounds less and has 25mm tires pumped up to high pressure, I can usually just barely make it through that last light without having to stop. My bike computer that only records moving time will usually say that the Nomad takes a bit over 5 percent more time for that 20 mile ride, but just that last light by itself adds two minutes of stopped time if I am on the Nomad.
I have two sets of wheels for my Long Haul Trucker. One set has robust 37mm wide touring tires with stiff casing, the other set I had 25mm wide supple high pressure tires. When I rode that bike for exercise, I usually found that the 25mm tires would get me home in about 3 percent less time than the wheel set with heavier tires. In this case the only difference was tires and slightly different weights for the wheels because it was always the same bike for comparison.
Hill climbing by itself is an interesting study. I have had people pass me with fast carbon bikes, then when the hill gets steep, they slow down and because they do not have the low gearing that I have they have to stand on the pedals at very low cadence just to make any headway, while I might start passing them because I can gear way down and stay seated.