Honeysuckle is very low in nutrient quality for birds. They eat it because it grows and it is edible. Spreads and creates areas where only it grows, and reduces growth of better nutritional content shrubs/trees. I have birds from early morning to night feeding on raspberries right now.
Raspberries, Elderberries, Blackberries, Dogwood, Viburnums, Spicebush will grow as well as the honeysuckle and have better nutritional (fats, sugars). Northern Bayberry produces the highest fat content (60%) of any native
eastern US shrub, which helps migrating birds.
Also birds will eat a large amount of bugs, that the native shrubs will host and feet the birds. Honeysuckle doesn't have things that eat it so no bugs, and no birds when there is no fruit