You're misunderstanding what that line means.
The line that you underlined was intended to clear up a completely different common misconception, which is that dominance is a function of the phenotype. Meaning, many people think that a more "intense" phenotype will dominate over a less "intense" phenotype. For example, some people might think that red is dominant to white because red is darker. I really don't know how to explain it better than that because it's an incorrect misconception, but that is what the author is driving at.
You ignored the first line of the Wiki article (emphasis added):
"Rather, the terms simply refer to the visible trait, the phenotype, seen in a heterozygote."
That is in the second line of the paragraph I linked to.
The fact of the matter is, though, that these terms are way too simple to adequately describe genetics as we now understand it. That's why geneticists keep expanding and adding new concepts, such as recessive lethality, and that's why it's such a pain to try and fit these complex genetic concepts into these overly-simplified categories.
I had one genetics professor who hated these terms (dominant, recessive, etc.) for that very reason.