You are not wrong at all!

Reread my post, I was definitely not describing blue.
Blue is a partial dominant gene; one copy gives a partial effect, diluting black to blue-gray, and two copies give a more complete effect, diluting it further to grayish white with blue-gray flecks. That means that if a bird inherits one copy of the gene from just one parent, you still see some kind of expression of the gene.
Lavender, as I described in the post you quoted, is a recessive gene; two copies of the gene are necessary for it to express, one inherited from the mother and one from the father. If a bird inherits only one copy from one parent and not from the other, then there is no outward expression of lavender. However, such birds will still carry the gene and can pass it on to their own offspring.
Blue and lavender are two completely different genes, Bl for blue and lav for lavender. However, when speaking of Blue and Lavender as in the varieties instead of as in the specific genes, they are both dilutions of solid black, as is the Chocolate variety.
Now, the chocolate gene is also recessive, but differs from lavender in that chocolate is also sexlinked. That means it is found along the Z sex chromosome and not along the W sex chromosome. In birds, males have the matching pair ZZ and females have the mismatched ZW sex chromosomes. The chocolate gene does not express if any other gene is present at its particular locus and paired with it, but since it is only along the Z chromosome, females with their ZW pairing only need one copy on their Z chromosome to express it because there is no locus for the gene on the W chromosome and thus no other gene from that chromosome to pair with it. Males, however, need two copies of the gene to express it because otherwise there is another gene to effectively block it. So females are either chocolate (choc/-) or not (Choc+/-), but males can be chocolate (choc/choc), not-chocolate but carrying the gene (Choc+/choc), or not-chocolate and not carrying the gene (Choc+/Choc+).
I hope that clears some things up!