Just to clarify, chicken bones themselves aren't a huge issue. It's cooked chicken bones, actually any cooked bones at all, that splinter and cause problems.
Of course, birds have small bones so dogs can conceivably choke on them when uncooked as well, but it's generally not a huge concern. The splintering however, is a result of cooking[1].
I have a chicken in the slow cooker almost every single day. If the bones have cooked for more than 12 hours, it’s not possible for them to harm anyone. They’re too soft. By the time is they have simmered 24 hours, they are easily chewable.
They tend to splinter, leaving sharp spikes that may hurt the dog's intestines.
Beef and pork bones are better since these don't shatter.