The black-capped chickadees coming to your seed feeders get 20 to 25% of their nourishment there. There is research to support the numbers.
Those birds have a usual nesting territory of 6 to 10 acres. This is where they look first for food.
If they're not finding the remaining 75 to 80% of their daily dietary needs from natural sources within that territory they must look for it elsewhere. That takes time and energy for breeding birds.

The source for the information discussed here is Desiree L. Narango's Ph.D. dissertation examining the relationships among birds, bugs and plants. She wrote about the future of conservation and the importance of residential yards in conservation efforts. Her post-grad work was done at the University of Delaware.
One of the villains in this story is buckthorn, a notorious non-native that is prolific here. Every buckthorn tree, large or small, in a bird's nesting territory is preventing native plants from growing and thriving.
The insects that these birds need to feed their young cannot be found on buckthorn, a European species. Our insects and birds evolved with native plants.
It's pretty simple. Buckthorn and other non-native plants can and will influence behavior, diet and population growth of chickadees and other native bird species.
The more non-native vegetation, the fewer bird and species numbers.