I have both. IMHO Jolla's Android support is superior as it can run Google Play Services and BB10 can't (there is a BB10 port which doesn't run well and requires conversion of the apps that will use it). Jolla on the other hand is missing any Android Bluetooth support, which BB10 has working (for instance the Android Pebble app works okay).

Both devices have permissions support and run Android apps sandboxed. I think BB10 does that a bit better.