Yes, because the animal is HOMOZYGOUS, not because the trait is co-dominant or dominant.
A homozygous spider would, in fact, pass its traits on to all its offspring, however since there is no visual "super form" of a spider, it's assumed that the heterozygous and homozygous forms are the same, hence it is a dominant trait.
Only if the granite is homozygous will it pass on that trait to all offspring. Dominance of the gene is meaningless.
You should probably read through that again yourself. In the explanation, their use of the word dominant is not in the context of the dominance of the gene, but rather in the context of a dominant (heterozygous), co-dominant (homozygous) and normal (non-carrier) animals.