My experience is that at least 90% of the red fabrics I have used bleed at least on their first experience in water. Whether or not the fabrics next to them in a quilt will pick up the red dye in the water is not a gamble that I want to take. Therefore, I test ALL. If needed, Retayne treatment is next.
It matters not at all whether the red fabric is an LQS fabric - almost all bleed for me. And red is not the only color with that problem.