Remember this statement from the article:
So yes, it's possible that if this is occurring then under the right set of circumstances it might make more gain. Think of it almost like a cophased vertical. The problem with this though, is that it's difficult/impossible to control where the feedline radiation goes and the results will vary a lot from installation to installation. Some will be lost to ground. Some will go into your neighbor's stereo. Some will radiate all back into your shack and get into your computer, mic, other equipment. You get the point. So if the feedline radiation isn't going where you want it to go (out on the horizon), then it's not doing much good, is it?
Many antenna designs actually use the feedline and mast radiation that others dismiss as "insignificant" to increase antenna gain. In some cases, the antenna designers really don't even understand what they did to create a "Magic antenna".
So yes, it's possible that if this is occurring then under the right set of circumstances it might make more gain. Think of it almost like a cophased vertical. The problem with this though, is that it's difficult/impossible to control where the feedline radiation goes and the results will vary a lot from installation to installation. Some will be lost to ground. Some will go into your neighbor's stereo. Some will radiate all back into your shack and get into your computer, mic, other equipment. You get the point. So if the feedline radiation isn't going where you want it to go (out on the horizon), then it's not doing much good, is it?