That only works for recessive traits, Gib... if you breed two animals with the same visual recessive morph, you cannot get anything but that recessive morph - like having a blue-eyed couple, who are not capable of producing brown-eyed children*.
Dominant traits don't work the same way, though - you can get the visual trait for either homozygous or heterozygous gene pairs. For example, a visual brown eyed couple can produce blue-eyed offspring... simply because the trait for blue eyes can 'hide' heterozygously under the dominant brown-eyed trait.
Likewise, the normal pattern trait can 'hide' under dominant Pinstripe... and if both pinstripe parents carry "not pinstripe" then there is a 25% chance for each egg that each parent will hand over the recessive normal trait to their offspring and produce a normal-looking hatchling.
* This is a massive simplification of the eye colour traits in humans - it's actually several related sets of genes that produce eye colour, and that's how you can get green, hazel and grey eyes - but generally speaking, blue eyes are recessive to brown eyes in the absence of any other eye colour genes.