No, the example you were given is based on line breeding after an outcross. Take a line, cross in a bird from another line (different type). Take the F1s and cross them back into the original line. Then take the offspring from this breeding and cross them back into the original line, and so on for the succeeding generations.
If you take two different types and cross them together and continue to cross siblings from each generation. You may select for most of the genes that make it look like a particular type, but it will still contain many genes (traits) from the other line and would technically be a hybrid.
The first example above, is a good way to introduce a missing trait into an existing line. The 2nd is a great way to develop a new variety that has a mix of traits from both lines.