I do not think you can not depend on daycare providers to assess giftedness. 0-3 years are years of major changes, and it is expected that children are learning and developing so rapidly at their pace so unless your child is so obvious about their giftedness, it is easy for me to see how it can be missed at daycare. I have seen it with DS who tends to blend in so well that people usually see an average boy.
Most daycares that I have seen tends to be very loosely structured with play centers that the children can wander through themselves, and I can easily see how a range of gifted children are overlooked with their "quirks" seen through the lenses of early child development. Daycare teachers my children have had are amazing but their focus is not assessing a child's academic strengths and long term academic education. They are more focused on fostering non-academic skills, independence and physical skill development.
