Can a red factor canary breed with dominant white?

A red factor canary CAN breed with a dominant white, they are all the same species. The question is whether you should ALLOW them to breed. The red factor is bred specifically for it's color-red. The dominant white is white and YELLOW, if you breed to another yellow, you will get yellow and white chicks. Therefore if you breed a dominant white to a red factor half the chick would be a yellow/red cross which would dilute the red factor and produce inferior colored chicks. The white birds produced from this cross would theoretically carry a red factor and could be crossed with other red factor birds, but I am unsure of the quality of red that these birds would produce. So, if your white and red birds did mate, they would produce healthy, "normal" chick but the red would be diluted, therefore this cross is not recommended. However, a white canary lacks the lipochrome (which gives the bird a yellow or red hue) and can be housed with red factors and eat red factor food without affecting their color (except for the small yellow spot on Dominant white's wings).