There is literally nothing worse than scouring the internet, finding the same problem, and OP didn’t update with his fix. (I take that back — “nvm fixed it” with no explanation is worse.)
I downloaded Bluetooth Phonebook and my contacts now sync fine. It replaces the built-in Phonebook Access Profile (PBAP).
https://play.google.com/store/apps/details?id=com.android_rsap.irmc&hl=en
