OK, so far one poster said Lucas burns better and one person said TCW3 burns cleaner. I thought more people would chime in, but nevertheless this is my take as well.
I showed the videos to my wife and she saw no difference (I was not surprised). However, my son, who saw the videos without prior info about the experiments and who is an avid youtube watcher, set all three video running at the same time and he switched quickly between them and he notices a clear difference: gasoline burn is more explosive and dirty burning, lucas is much less explosive but also dirty burning, and TWC3 is the cleanest burning, with explosiveness somewhere in between.
This was actually easier for me figure out when I was doing the burns, as it was impossible to blow the candle with Lucas, even at the close range (see end of video), yet gasoline control blew the candle with ease. TCW3 was in between in that regard.
The difference in explosiveness is also clear when one pays attention to the sound difference at the beginning of videos, when the spraying distance is farther and mixture leaner. This probably accounts for the idle sound improvement people report with TCW3.
The last observation I made was during the video editing (only to crop the lengths). While using VirtualDub, I could examine each frame and measure burn times, gasoline burned in 0.5s on average while Lucas and TCW3 burned in 0.4s on average, which is surprising considering how gasoline burn starts with an explosion. The difference is in the last 0.1 sec when gasoline has a lot of red flames that turn into carbon soot last moment, while the additives burn mostly yellow/orange (high temp) with little residual red at the end, except for the last seconds of videos when I spray upclose to blow the candle and the mixtures are very rich. Looks like additives give more complete burn, that could possibly explain the MPG effects some people see.
Now, I'm curious how this compares to high octane gas. Need to buy new sprayer!