Dupes will supply buildings with Supplying, Storing and Tidying priority disallowed. At one point even ignoring doors without access permission to get the materials, but I couldn't replicate this after deconstructing and rebuilding the doors.
In my sandbox testing base I have hatch ranches that only ranchers can access, who have only Ranching priority enabled. The delivery of materials should only be done by automation, but the auto-sweepers will often just wait for the ranchers to do the job. I tested the same with cooks (having only Cooking enabled) supplying kitchen machines. I'm pretty sure this problem didn't occur in older patches.