I have not heard of a concept of "colors for a royal house" before. As heraldry spread, European monarchies adopted coats of arms. To be more precise, the realms had arms of dominion, and a new king would adopt those arms (e.g., the Hapsburgs abandoning their ancestral arms to take gold background + black eagle; the Tudors taking the arms of England). The point was the entire design of the coat of arms. The colors per se had no significance, other than yes, they happened to be of specific colors. The English royal arms featured red and yellow, yes, but the significance was that the field of the shield specifically was red, and there were specifically three yellow lions stretched horizontally (one foreleg raised) and stacked vertically.

The colors used in heraldry [1] were white, yellow, black, red, blue, green, and purple, and green and purple were rare in most places. A shade of one of them would be considered the basic color -- royal blue was blue. Yes, you can find heraldic tracts that talk about bleu celeste (sky blue), rose, murrey, tenne, and such, but you can find a lot of things in heraldic tracts that (1) never happened in reality, (2) happened extremely rarely, or (3) didn't happen until the period that some called "the heraldry of the decadence". Pink as a color used in arms by a royal house: I can't think of any and I would be extremely surprised to see it, unless it was some 5-pfennig principality buried in the Holy Roman Empire.

[1] I consider heraldry to be the art style that originated in northern France and southern England in the 1100s, spreading through Europe in years and centuries to come. I do not use the term for other systems of hereditary art or personal artistic identification.