I am thinking you are correct in your observations. The best seed are plump and black. I saved enough of last year's harvest to plant a 200' double row in a modified Keyline design for 1) wind break, 2) chicken feed, 3) soil building, 4)
compost, and 5) to attract bees and pollinators for my other nearby crops. As I harvest now a few heads have seeds that are whitish in color and appear immature. Immature means they they probably will not germinate due to seed maturity. It does not mean they are not nutritious as your Finches can testify especially if the seed are plump and white. Right now it is a battle between me and my wild finches, sparrows, dove, quail and feral pigeons. My chickens are free rangers and also compete for the seed that ends up on the ground. There is an additional side benefit; the bird droppings are bringing additional phosphorous to my otherwise arid sandy landscape.
Keep up the good work. The flowers are a bright and cheery reminder of the good we are doing for the environment.