Not necessarily... They may well produce seedlings that look like a parent/ancestor of the Songbird series. The only way to tell what you’re going to get is to grow the seeds and see what they produce! Columbines are very apt to produce something different than the seed-parent. IME white and shades of blue and pink are the most common - but that likely reflects the colours I started with. I let them seed around freely as filler plants in many areas.

I have had good luck getting the same color from seeds as the parent plant.

The 'Songbird' series are a hybrid mix so there is NO guarantee that seedling plants will be the same as the parent. They may be the same color.......but they also may not be.